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Finding the Fourth Proportional to 177,646.97, 266,498.71 and 71,030.72

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Solution

The fourth proportional to 177,646.97, 266,498.71 and 71,030.72 is: 106,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,646.97 : 266,498.71 = 71,030.72 : x
  2. Step 2: Convert to fraction form
    177,646.97/266,498.71 = 71,030.72/x
  3. Step 3: Cross multiply
    177,646.97x = 266,498.71 × 71,030.72
  4. Step 4: Simplify right side
    177,646.97x = 18,929,595,739.04
  5. Step 5: Solve for x
    x = 18,929,595,739.04/177,646.97
  6. Step 6: Final answer
    x = 106,557.38

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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.