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Finding the Fourth Proportional to 86,551.80, 129,827.70 and 54,103.20

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Solution

The fourth proportional to 86,551.80, 129,827.70 and 54,103.20 is: 81,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,551.80 : 129,827.70 = 54,103.20 : x
  2. Step 2: Convert to fraction form
    86,551.80/129,827.70 = 54,103.20/x
  3. Step 3: Cross multiply
    86,551.80x = 129,827.70 × 54,103.20
  4. Step 4: Simplify right side
    86,551.80x = 7,024,094,018.64
  5. Step 5: Solve for x
    x = 7,024,094,018.64/86,551.80
  6. Step 6: Final answer
    x = 81,154.80

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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.