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Finding the Fourth Proportional to 151,690.88, 209,335.68 and 83,706.80

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Solution

The fourth proportional to 151,690.88, 209,335.68 and 83,706.80 is: 115,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,690.88 : 209,335.68 = 83,706.80 : x
  2. Step 2: Convert to fraction form
    151,690.88/209,335.68 = 83,706.80/x
  3. Step 3: Cross multiply
    151,690.88x = 209,335.68 × 83,706.80
  4. Step 4: Simplify right side
    151,690.88x = 17,522,819,898.62
  5. Step 5: Solve for x
    x = 17,522,819,898.62/151,690.88
  6. Step 6: Final answer
    x = 115,516.63

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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.