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Finding the Fourth Proportional to 55,715.76, 76,887.76 and 30,565.26

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Solution

The fourth proportional to 55,715.76, 76,887.76 and 30,565.26 is: 42,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,715.76 : 76,887.76 = 30,565.26 : x
  2. Step 2: Convert to fraction form
    55,715.76/76,887.76 = 30,565.26/x
  3. Step 3: Cross multiply
    55,715.76x = 76,887.76 × 30,565.26
  4. Step 4: Simplify right side
    55,715.76x = 2,350,094,375.22
  5. Step 5: Solve for x
    x = 2,350,094,375.22/55,715.76
  6. Step 6: Final answer
    x = 42,180.06

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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.