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Finding the Fourth Proportional to 177,412.80, 266,119.20 and 142,420.80

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Solution

The fourth proportional to 177,412.80, 266,119.20 and 142,420.80 is: 213,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,412.80 : 266,119.20 = 142,420.80 : x
  2. Step 2: Convert to fraction form
    177,412.80/266,119.20 = 142,420.80/x
  3. Step 3: Cross multiply
    177,412.80x = 266,119.20 × 142,420.80
  4. Step 4: Simplify right side
    177,412.80x = 37,900,909,359.36
  5. Step 5: Solve for x
    x = 37,900,909,359.36/177,412.80
  6. Step 6: Final answer
    x = 213,631.20

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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.