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Finding the Fourth Proportional to 102,139.71, 153,210.65 and 31,073.92

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Solution

The fourth proportional to 102,139.71, 153,210.65 and 31,073.92 is: 46,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,139.71 : 153,210.65 = 31,073.92 : x
  2. Step 2: Convert to fraction form
    102,139.71/153,210.65 = 31,073.92/x
  3. Step 3: Cross multiply
    102,139.71x = 153,210.65 × 31,073.92
  4. Step 4: Simplify right side
    102,139.71x = 4,760,854,942.85
  5. Step 5: Solve for x
    x = 4,760,854,942.85/102,139.71
  6. Step 6: Final answer
    x = 46,611.21

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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.