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Finding the Fourth Proportional to 159,443.76, 239,165.64 and 138,915.12

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Solution

The fourth proportional to 159,443.76, 239,165.64 and 138,915.12 is: 208,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,443.76 : 239,165.64 = 138,915.12 : x
  2. Step 2: Convert to fraction form
    159,443.76/239,165.64 = 138,915.12/x
  3. Step 3: Cross multiply
    159,443.76x = 239,165.64 × 138,915.12
  4. Step 4: Simplify right side
    159,443.76x = 33,223,723,580.48
  5. Step 5: Solve for x
    x = 33,223,723,580.48/159,443.76
  6. Step 6: Final answer
    x = 208,372.68

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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.