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Finding the Fourth Proportional to 55,874.61, 77,106.97 and 30,724.11

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Solution

The fourth proportional to 55,874.61, 77,106.97 and 30,724.11 is: 42,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,874.61 : 77,106.97 = 30,724.11 : x
  2. Step 2: Convert to fraction form
    55,874.61/77,106.97 = 30,724.11/x
  3. Step 3: Cross multiply
    55,874.61x = 77,106.97 × 30,724.11
  4. Step 4: Simplify right side
    55,874.61x = 2,369,042,874.43
  5. Step 5: Solve for x
    x = 2,369,042,874.43/55,874.61
  6. Step 6: Final answer
    x = 42,399.27

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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.