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Finding the Fourth Proportional to 87,394.60, 130,858.62 and 76,897

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Solution

The fourth proportional to 87,394.60, 130,858.62 and 76,897 is: 115,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,394.60 : 130,858.62 = 76,897 : x
  2. Step 2: Convert to fraction form
    87,394.60/130,858.62 = 76,897/x
  3. Step 3: Cross multiply
    87,394.60x = 130,858.62 × 76,897
  4. Step 4: Simplify right side
    87,394.60x = 10,062,635,302.14
  5. Step 5: Solve for x
    x = 10,062,635,302.14/87,394.60
  6. Step 6: Final answer
    x = 115,140.24

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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.