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Finding the Fourth Proportional to 56,358.38, 77,774 and 30,516.80

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Solution

The fourth proportional to 56,358.38, 77,774 and 30,516.80 is: 42,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,358.38 : 77,774 = 30,516.80 : x
  2. Step 2: Convert to fraction form
    56,358.38/77,774 = 30,516.80/x
  3. Step 3: Cross multiply
    56,358.38x = 77,774 × 30,516.80
  4. Step 4: Simplify right side
    56,358.38x = 2,373,413,603.20
  5. Step 5: Solve for x
    x = 2,373,413,603.20/56,358.38
  6. Step 6: Final answer
    x = 42,112.88

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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.