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Finding the Fourth Proportional to 71,146, 106,753.68 and 47,726.32

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Solution

The fourth proportional to 71,146, 106,753.68 and 47,726.32 is: 71,612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,146 : 106,753.68 = 47,726.32 : x
  2. Step 2: Convert to fraction form
    71,146/106,753.68 = 47,726.32/x
  3. Step 3: Cross multiply
    71,146x = 106,753.68 × 47,726.32
  4. Step 4: Simplify right side
    71,146x = 5,094,960,292.86
  5. Step 5: Solve for x
    x = 5,094,960,292.86/71,146
  6. Step 6: Final answer
    x = 71,612.74

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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.