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Finding the Fourth Proportional to 145,267.34, 217,913.56 and 40,086.30

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Solution

The fourth proportional to 145,267.34, 217,913.56 and 40,086.30 is: 60,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,267.34 : 217,913.56 = 40,086.30 : x
  2. Step 2: Convert to fraction form
    145,267.34/217,913.56 = 40,086.30/x
  3. Step 3: Cross multiply
    145,267.34x = 217,913.56 × 40,086.30
  4. Step 4: Simplify right side
    145,267.34x = 8,735,348,340.23
  5. Step 5: Solve for x
    x = 8,735,348,340.23/145,267.34
  6. Step 6: Final answer
    x = 60,132.91

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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.