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Finding the Fourth Proportional to 87,096, 130,644.64 and 21,432

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Solution

The fourth proportional to 87,096, 130,644.64 and 21,432 is: 32,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,096 : 130,644.64 = 21,432 : x
  2. Step 2: Convert to fraction form
    87,096/130,644.64 = 21,432/x
  3. Step 3: Cross multiply
    87,096x = 130,644.64 × 21,432
  4. Step 4: Simplify right side
    87,096x = 2,799,975,924.48
  5. Step 5: Solve for x
    x = 2,799,975,924.48/87,096
  6. Step 6: Final answer
    x = 32,148.16

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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.