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Finding the Fourth Proportional to 54,977.42, 82,490.72 and 31,603.86

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Solution

The fourth proportional to 54,977.42, 82,490.72 and 31,603.86 is: 47,419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,977.42 : 82,490.72 = 31,603.86 : x
  2. Step 2: Convert to fraction form
    54,977.42/82,490.72 = 31,603.86/x
  3. Step 3: Cross multiply
    54,977.42x = 82,490.72 × 31,603.86
  4. Step 4: Simplify right side
    54,977.42x = 2,607,025,008.16
  5. Step 5: Solve for x
    x = 2,607,025,008.16/54,977.42
  6. Step 6: Final answer
    x = 47,419.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.