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Finding the Fourth Proportional to 87,125, 130,688.14 and 21,461

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Solution

The fourth proportional to 87,125, 130,688.14 and 21,461 is: 32,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,125 : 130,688.14 = 21,461 : x
  2. Step 2: Convert to fraction form
    87,125/130,688.14 = 21,461/x
  3. Step 3: Cross multiply
    87,125x = 130,688.14 × 21,461
  4. Step 4: Simplify right side
    87,125x = 2,804,698,172.54
  5. Step 5: Solve for x
    x = 2,804,698,172.54/87,125
  6. Step 6: Final answer
    x = 32,191.66

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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.