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Finding the Fourth Proportional to 102,464.71, 153,691.47 and 39,315.13

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Solution

The fourth proportional to 102,464.71, 153,691.47 and 39,315.13 is: 58,970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,464.71 : 153,691.47 = 39,315.13 : x
  2. Step 2: Convert to fraction form
    102,464.71/153,691.47 = 39,315.13/x
  3. Step 3: Cross multiply
    102,464.71x = 153,691.47 × 39,315.13
  4. Step 4: Simplify right side
    102,464.71x = 6,042,400,122.94
  5. Step 5: Solve for x
    x = 6,042,400,122.94/102,464.71
  6. Step 6: Final answer
    x = 58,970.55

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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.