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Finding the Fourth Proportional to 261,781.39, 361,237.08 and 147,053.80

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Solution

The fourth proportional to 261,781.39, 361,237.08 and 147,053.80 is: 202,922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,781.39 : 361,237.08 = 147,053.80 : x
  2. Step 2: Convert to fraction form
    261,781.39/361,237.08 = 147,053.80/x
  3. Step 3: Cross multiply
    261,781.39x = 361,237.08 × 147,053.80
  4. Step 4: Simplify right side
    261,781.39x = 53,121,285,314.90
  5. Step 5: Solve for x
    x = 53,121,285,314.90/261,781.39
  6. Step 6: Final answer
    x = 202,922.31

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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.