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Finding the Fourth Proportional to 87,097, 130,646.14 and 21,433

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Solution

The fourth proportional to 87,097, 130,646.14 and 21,433 is: 32,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,097 : 130,646.14 = 21,433 : x
  2. Step 2: Convert to fraction form
    87,097/130,646.14 = 21,433/x
  3. Step 3: Cross multiply
    87,097x = 130,646.14 × 21,433
  4. Step 4: Simplify right side
    87,097x = 2,800,138,718.62
  5. Step 5: Solve for x
    x = 2,800,138,718.62/87,097
  6. Step 6: Final answer
    x = 32,149.66

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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.