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Finding the Fourth Proportional to 177,641.33, 266,429.31 and 77,782.91

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Solution

The fourth proportional to 177,641.33, 266,429.31 and 77,782.91 is: 116,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,641.33 : 266,429.31 = 77,782.91 : x
  2. Step 2: Convert to fraction form
    177,641.33/266,429.31 = 77,782.91/x
  3. Step 3: Cross multiply
    177,641.33x = 266,429.31 × 77,782.91
  4. Step 4: Simplify right side
    177,641.33x = 20,723,645,708.95
  5. Step 5: Solve for x
    x = 20,723,645,708.95/177,641.33
  6. Step 6: Final answer
    x = 116,660.05

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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.