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Finding the Fourth Proportional to 87,146.91, 130,737.38 and 27,978.03

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Solution

The fourth proportional to 87,146.91, 130,737.38 and 27,978.03 is: 41,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,146.91 : 130,737.38 = 27,978.03 : x
  2. Step 2: Convert to fraction form
    87,146.91/130,737.38 = 27,978.03/x
  3. Step 3: Cross multiply
    87,146.91x = 130,737.38 × 27,978.03
  4. Step 4: Simplify right side
    87,146.91x = 3,657,774,199.87
  5. Step 5: Solve for x
    x = 3,657,774,199.87/87,146.91
  6. Step 6: Final answer
    x = 41,972.51

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1.5x scale

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.