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Finding the Fourth Proportional to 145,144.95, 217,731.17 and 56,405.30

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Solution

The fourth proportional to 145,144.95, 217,731.17 and 56,405.30 is: 84,613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,144.95 : 217,731.17 = 56,405.30 : x
  2. Step 2: Convert to fraction form
    145,144.95/217,731.17 = 56,405.30/x
  3. Step 3: Cross multiply
    145,144.95x = 217,731.17 × 56,405.30
  4. Step 4: Simplify right side
    145,144.95x = 12,281,191,963.20
  5. Step 5: Solve for x
    x = 12,281,191,963.20/145,144.95
  6. Step 6: Final answer
    x = 84,613.29

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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.