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Finding the Fourth Proportional to 151,295.80, 226,943.70 and 138,854.20

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Solution

The fourth proportional to 151,295.80, 226,943.70 and 138,854.20 is: 208,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,295.80 : 226,943.70 = 138,854.20 : x
  2. Step 2: Convert to fraction form
    151,295.80/226,943.70 = 138,854.20/x
  3. Step 3: Cross multiply
    151,295.80x = 226,943.70 × 138,854.20
  4. Step 4: Simplify right side
    151,295.80x = 31,512,085,908.54
  5. Step 5: Solve for x
    x = 31,512,085,908.54/151,295.80
  6. Step 6: Final answer
    x = 208,281.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.