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Finding the Fourth Proportional to 55,874.16, 77,108.04 and 30,724.56

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Solution

The fourth proportional to 55,874.16, 77,108.04 and 30,724.56 is: 42,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,874.16 : 77,108.04 = 30,724.56 : x
  2. Step 2: Convert to fraction form
    55,874.16/77,108.04 = 30,724.56/x
  3. Step 3: Cross multiply
    55,874.16x = 77,108.04 × 30,724.56
  4. Step 4: Simplify right side
    55,874.16x = 2,369,110,601.46
  5. Step 5: Solve for x
    x = 2,369,110,601.46/55,874.16
  6. Step 6: Final answer
    x = 42,400.83

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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.