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Finding the Fourth Proportional to 132,415.74, 182,731.58 and 71,987.90

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Solution

The fourth proportional to 132,415.74, 182,731.58 and 71,987.90 is: 99,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,415.74 : 182,731.58 = 71,987.90 : x
  2. Step 2: Convert to fraction form
    132,415.74/182,731.58 = 71,987.90/x
  3. Step 3: Cross multiply
    132,415.74x = 182,731.58 × 71,987.90
  4. Step 4: Simplify right side
    132,415.74x = 13,154,461,434.28
  5. Step 5: Solve for x
    x = 13,154,461,434.28/132,415.74
  6. Step 6: Final answer
    x = 99,342.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.