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Finding the Fourth Proportional to 151,763.70, 209,432.76 and 83,780.70

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Solution

The fourth proportional to 151,763.70, 209,432.76 and 83,780.70 is: 115,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,763.70 : 209,432.76 = 83,780.70 : x
  2. Step 2: Convert to fraction form
    151,763.70/209,432.76 = 83,780.70/x
  3. Step 3: Cross multiply
    151,763.70x = 209,432.76 × 83,780.70
  4. Step 4: Simplify right side
    151,763.70x = 17,546,423,235.73
  5. Step 5: Solve for x
    x = 17,546,423,235.73/151,763.70
  6. Step 6: Final answer
    x = 115,616.73

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1.5x scale

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.