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Finding the Fourth Proportional to 87,118.40, 130,543.20 and 64,827.20

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Solution

The fourth proportional to 87,118.40, 130,543.20 and 64,827.20 is: 97,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,118.40 : 130,543.20 = 64,827.20 : x
  2. Step 2: Convert to fraction form
    87,118.40/130,543.20 = 64,827.20/x
  3. Step 3: Cross multiply
    87,118.40x = 130,543.20 × 64,827.20
  4. Step 4: Simplify right side
    87,118.40x = 8,462,750,135.04
  5. Step 5: Solve for x
    x = 8,462,750,135.04/87,118.40
  6. Step 6: Final answer
    x = 97,140.79

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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.