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Finding the Fourth Proportional to 195,419.40, 292,913.10 and 77,051.40

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Solution

The fourth proportional to 195,419.40, 292,913.10 and 77,051.40 is: 115,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,419.40 : 292,913.10 = 77,051.40 : x
  2. Step 2: Convert to fraction form
    195,419.40/292,913.10 = 77,051.40/x
  3. Step 3: Cross multiply
    195,419.40x = 292,913.10 × 77,051.40
  4. Step 4: Simplify right side
    195,419.40x = 22,569,364,433.34
  5. Step 5: Solve for x
    x = 22,569,364,433.34/195,419.40
  6. Step 6: Final answer
    x = 115,491.93

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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.