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Finding the Fourth Proportional to 87,171, 130,803.75 and 67,488

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Solution

The fourth proportional to 87,171, 130,803.75 and 67,488 is: 101,268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,171 : 130,803.75 = 67,488 : x
  2. Step 2: Convert to fraction form
    87,171/130,803.75 = 67,488/x
  3. Step 3: Cross multiply
    87,171x = 130,803.75 × 67,488
  4. Step 4: Simplify right side
    87,171x = 8,827,683,480
  5. Step 5: Solve for x
    x = 8,827,683,480/87,171
  6. Step 6: Final answer
    x = 101,268.58

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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.