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Finding the Fourth Proportional to 87,090.40, 130,693.80 and 31,686.40

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Solution

The fourth proportional to 87,090.40, 130,693.80 and 31,686.40 is: 47,550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,090.40 : 130,693.80 = 31,686.40 : x
  2. Step 2: Convert to fraction form
    87,090.40/130,693.80 = 31,686.40/x
  3. Step 3: Cross multiply
    87,090.40x = 130,693.80 × 31,686.40
  4. Step 4: Simplify right side
    87,090.40x = 4,141,216,024.32
  5. Step 5: Solve for x
    x = 4,141,216,024.32/87,090.40
  6. Step 6: Final answer
    x = 47,550.78

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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.