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Finding the Fourth Proportional to 55,687.69, 76,884.02 and 38,686.47

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Solution

The fourth proportional to 55,687.69, 76,884.02 and 38,686.47 is: 53,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,687.69 : 76,884.02 = 38,686.47 : x
  2. Step 2: Convert to fraction form
    55,687.69/76,884.02 = 38,686.47/x
  3. Step 3: Cross multiply
    55,687.69x = 76,884.02 × 38,686.47
  4. Step 4: Simplify right side
    55,687.69x = 2,974,371,333.21
  5. Step 5: Solve for x
    x = 2,974,371,333.21/55,687.69
  6. Step 6: Final answer
    x = 53,411.65

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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.