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Finding the Fourth Proportional to 87,114.40, 130,537.20 and 64,823.20

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Solution

The fourth proportional to 87,114.40, 130,537.20 and 64,823.20 is: 97,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,114.40 : 130,537.20 = 64,823.20 : x
  2. Step 2: Convert to fraction form
    87,114.40/130,537.20 = 64,823.20/x
  3. Step 3: Cross multiply
    87,114.40x = 130,537.20 × 64,823.20
  4. Step 4: Simplify right side
    87,114.40x = 8,461,839,023.04
  5. Step 5: Solve for x
    x = 8,461,839,023.04/87,114.40
  6. Step 6: Final answer
    x = 97,134.79

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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.