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Finding the Fourth Proportional to 218,451.32, 301,390.53 and 127,743.02

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Solution

The fourth proportional to 218,451.32, 301,390.53 and 127,743.02 is: 176,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,451.32 : 301,390.53 = 127,743.02 : x
  2. Step 2: Convert to fraction form
    218,451.32/301,390.53 = 127,743.02/x
  3. Step 3: Cross multiply
    218,451.32x = 301,390.53 × 127,743.02
  4. Step 4: Simplify right side
    218,451.32x = 38,500,536,501.60
  5. Step 5: Solve for x
    x = 38,500,536,501.60/218,451.32
  6. Step 6: Final answer
    x = 176,243.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.