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Finding the Fourth Proportional to 149,689.80, 224,468.52 and 56,129.88

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Solution

The fourth proportional to 149,689.80, 224,468.52 and 56,129.88 is: 84,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,689.80 : 224,468.52 = 56,129.88 : x
  2. Step 2: Convert to fraction form
    149,689.80/224,468.52 = 56,129.88/x
  3. Step 3: Cross multiply
    149,689.80x = 224,468.52 × 56,129.88
  4. Step 4: Simplify right side
    149,689.80x = 12,599,391,091.38
  5. Step 5: Solve for x
    x = 12,599,391,091.38/149,689.80
  6. Step 6: Final answer
    x = 84,170.00

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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.