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Finding the Fourth Proportional to 102,175.98, 140,981.70 and 59,726.28

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Solution

The fourth proportional to 102,175.98, 140,981.70 and 59,726.28 is: 82,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,175.98 : 140,981.70 = 59,726.28 : x
  2. Step 2: Convert to fraction form
    102,175.98/140,981.70 = 59,726.28/x
  3. Step 3: Cross multiply
    102,175.98x = 140,981.70 × 59,726.28
  4. Step 4: Simplify right side
    102,175.98x = 8,420,312,489.08
  5. Step 5: Solve for x
    x = 8,420,312,489.08/102,175.98
  6. Step 6: Final answer
    x = 82,409.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.