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Finding the Fourth Proportional to 190,324, 285,475.20 and 57,201.58

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Solution

The fourth proportional to 190,324, 285,475.20 and 57,201.58 is: 85,799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,324 : 285,475.20 = 57,201.58 : x
  2. Step 2: Convert to fraction form
    190,324/285,475.20 = 57,201.58/x
  3. Step 3: Cross multiply
    190,324x = 285,475.20 × 57,201.58
  4. Step 4: Simplify right side
    190,324x = 16,329,632,490.82
  5. Step 5: Solve for x
    x = 16,329,632,490.82/190,324
  6. Step 6: Final answer
    x = 85,799.12

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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.