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Finding the Fourth Proportional to 119,706.32, 165,195.06 and 71,987

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Solution

The fourth proportional to 119,706.32, 165,195.06 and 71,987 is: 99,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,706.32 : 165,195.06 = 71,987 : x
  2. Step 2: Convert to fraction form
    119,706.32/165,195.06 = 71,987/x
  3. Step 3: Cross multiply
    119,706.32x = 165,195.06 × 71,987
  4. Step 4: Simplify right side
    119,706.32x = 11,891,896,784.22
  5. Step 5: Solve for x
    x = 11,891,896,784.22/119,706.32
  6. Step 6: Final answer
    x = 99,342.26

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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.