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Finding the Fourth Proportional to 177,985.80, 266,978.70 and 72,769.80

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Solution

The fourth proportional to 177,985.80, 266,978.70 and 72,769.80 is: 109,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,985.80 : 266,978.70 = 72,769.80 : x
  2. Step 2: Convert to fraction form
    177,985.80/266,978.70 = 72,769.80/x
  3. Step 3: Cross multiply
    177,985.80x = 266,978.70 × 72,769.80
  4. Step 4: Simplify right side
    177,985.80x = 19,427,986,603.26
  5. Step 5: Solve for x
    x = 19,427,986,603.26/177,985.80
  6. Step 6: Final answer
    x = 109,154.70

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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.