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Finding the Fourth Proportional to 81,585.68, 122,354.04 and 28,988.24

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Solution

The fourth proportional to 81,585.68, 122,354.04 and 28,988.24 is: 43,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,585.68 : 122,354.04 = 28,988.24 : x
  2. Step 2: Convert to fraction form
    81,585.68/122,354.04 = 28,988.24/x
  3. Step 3: Cross multiply
    81,585.68x = 122,354.04 × 28,988.24
  4. Step 4: Simplify right side
    81,585.68x = 3,546,828,276.49
  5. Step 5: Solve for x
    x = 3,546,828,276.49/81,585.68
  6. Step 6: Final answer
    x = 43,473.66

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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.