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Finding the Fourth Proportional to 177,979.88, 266,978.70 and 53,309

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Solution

The fourth proportional to 177,979.88, 266,978.70 and 53,309 is: 79,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,979.88 : 266,978.70 = 53,309 : x
  2. Step 2: Convert to fraction form
    177,979.88/266,978.70 = 53,309/x
  3. Step 3: Cross multiply
    177,979.88x = 266,978.70 × 53,309
  4. Step 4: Simplify right side
    177,979.88x = 14,232,367,518.30
  5. Step 5: Solve for x
    x = 14,232,367,518.30/177,979.88
  6. Step 6: Final answer
    x = 79,966.16

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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.