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Finding the Fourth Proportional to 87,116.40, 130,540.20 and 64,825.20

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Solution

The fourth proportional to 87,116.40, 130,540.20 and 64,825.20 is: 97,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,116.40 : 130,540.20 = 64,825.20 : x
  2. Step 2: Convert to fraction form
    87,116.40/130,540.20 = 64,825.20/x
  3. Step 3: Cross multiply
    87,116.40x = 130,540.20 × 64,825.20
  4. Step 4: Simplify right side
    87,116.40x = 8,462,294,573.04
  5. Step 5: Solve for x
    x = 8,462,294,573.04/87,116.40
  6. Step 6: Final answer
    x = 97,137.79

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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.