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Finding the Fourth Proportional to 145,101.76, 217,644.56 and 43,898.24

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Solution

The fourth proportional to 145,101.76, 217,644.56 and 43,898.24 is: 65,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,101.76 : 217,644.56 = 43,898.24 : x
  2. Step 2: Convert to fraction form
    145,101.76/217,644.56 = 43,898.24/x
  3. Step 3: Cross multiply
    145,101.76x = 217,644.56 × 43,898.24
  4. Step 4: Simplify right side
    145,101.76x = 9,554,213,129.57
  5. Step 5: Solve for x
    x = 9,554,213,129.57/145,101.76
  6. Step 6: Final answer
    x = 65,844.92

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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.