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Finding the Fourth Proportional to 100,356.40, 138,472.23 and 59,512.96

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Solution

The fourth proportional to 100,356.40, 138,472.23 and 59,512.96 is: 82,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,356.40 : 138,472.23 = 59,512.96 : x
  2. Step 2: Convert to fraction form
    100,356.40/138,472.23 = 59,512.96/x
  3. Step 3: Cross multiply
    100,356.40x = 138,472.23 × 59,512.96
  4. Step 4: Simplify right side
    100,356.40x = 8,240,892,285.10
  5. Step 5: Solve for x
    x = 8,240,892,285.10/100,356.40
  6. Step 6: Final answer
    x = 82,116.26

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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.