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Finding the Fourth Proportional to 194,982,471.19, 292,473,689.03 and 85,807,642.19

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Solution

The fourth proportional to 194,982,471.19, 292,473,689.03 and 85,807,642.19 is: 128,711,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,982,471.19 : 292,473,689.03 = 85,807,642.19 : x
  2. Step 2: Convert to fraction form
    194,982,471.19/292,473,689.03 = 85,807,642.19/x
  3. Step 3: Cross multiply
    194,982,471.19x = 292,473,689.03 × 85,807,642.19
  4. Step 4: Simplify right side
    194,982,471.19x = 25,096,477,658,275,564
  5. Step 5: Solve for x
    x = 25,096,477,658,275,564/194,982,471.19
  6. Step 6: Final answer
    x = 128,711,455.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.