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Finding the Fourth Proportional to 87,089.61, 130,412.84 and 57,417.42

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Solution

The fourth proportional to 87,089.61, 130,412.84 and 57,417.42 is: 85,980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,089.61 : 130,412.84 = 57,417.42 : x
  2. Step 2: Convert to fraction form
    87,089.61/130,412.84 = 57,417.42/x
  3. Step 3: Cross multiply
    87,089.61x = 130,412.84 × 57,417.42
  4. Step 4: Simplify right side
    87,089.61x = 7,487,968,520.59
  5. Step 5: Solve for x
    x = 7,487,968,520.59/87,089.61
  6. Step 6: Final answer
    x = 85,980.04

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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.