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Finding the Fourth Proportional to 177,488.64, 266,155.20 and 66,602.88

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Solution

The fourth proportional to 177,488.64, 266,155.20 and 66,602.88 is: 99,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,488.64 : 266,155.20 = 66,602.88 : x
  2. Step 2: Convert to fraction form
    177,488.64/266,155.20 = 66,602.88/x
  3. Step 3: Cross multiply
    177,488.64x = 266,155.20 × 66,602.88
  4. Step 4: Simplify right side
    177,488.64x = 17,726,702,846.98
  5. Step 5: Solve for x
    x = 17,726,702,846.98/177,488.64
  6. Step 6: Final answer
    x = 99,875.14

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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.