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Finding the Fourth Proportional to 151,755.70, 209,421.72 and 83,772.70

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Solution

The fourth proportional to 151,755.70, 209,421.72 and 83,772.70 is: 115,605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,755.70 : 209,421.72 = 83,772.70 : x
  2. Step 2: Convert to fraction form
    151,755.70/209,421.72 = 83,772.70/x
  3. Step 3: Cross multiply
    151,755.70x = 209,421.72 × 83,772.70
  4. Step 4: Simplify right side
    151,755.70x = 17,543,822,923.04
  5. Step 5: Solve for x
    x = 17,543,822,923.04/151,755.70
  6. Step 6: Final answer
    x = 115,605.69

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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.