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Finding the Fourth Proportional to 100,476, 138,663.36 and 55,764

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Solution

The fourth proportional to 100,476, 138,663.36 and 55,764 is: 76,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,476 : 138,663.36 = 55,764 : x
  2. Step 2: Convert to fraction form
    100,476/138,663.36 = 55,764/x
  3. Step 3: Cross multiply
    100,476x = 138,663.36 × 55,764
  4. Step 4: Simplify right side
    100,476x = 7,732,423,607.04
  5. Step 5: Solve for x
    x = 7,732,423,607.04/100,476
  6. Step 6: Final answer
    x = 76,957.92

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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.