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Finding the Fourth Proportional to 145,135.54, 217,371.86 and 69,287.44

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Solution

The fourth proportional to 145,135.54, 217,371.86 and 69,287.44 is: 103,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,135.54 : 217,371.86 = 69,287.44 : x
  2. Step 2: Convert to fraction form
    145,135.54/217,371.86 = 69,287.44/x
  3. Step 3: Cross multiply
    145,135.54x = 217,371.86 × 69,287.44
  4. Step 4: Simplify right side
    145,135.54x = 15,061,138,837.10
  5. Step 5: Solve for x
    x = 15,061,138,837.10/145,135.54
  6. Step 6: Final answer
    x = 103,772.92

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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.