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Finding the Fourth Proportional to 55,471.86, 76,551.19 and 29,978.15

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Solution

The fourth proportional to 55,471.86, 76,551.19 and 29,978.15 is: 41,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,471.86 : 76,551.19 = 29,978.15 : x
  2. Step 2: Convert to fraction form
    55,471.86/76,551.19 = 29,978.15/x
  3. Step 3: Cross multiply
    55,471.86x = 76,551.19 × 29,978.15
  4. Step 4: Simplify right side
    55,471.86x = 2,294,862,598.80
  5. Step 5: Solve for x
    x = 2,294,862,598.80/55,471.86
  6. Step 6: Final answer
    x = 41,369.85

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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.