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Finding the Fourth Proportional to 142,427.60, 213,359.80 and 124,917.20

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Solution

The fourth proportional to 142,427.60, 213,359.80 and 124,917.20 is: 187,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,427.60 : 213,359.80 = 124,917.20 : x
  2. Step 2: Convert to fraction form
    142,427.60/213,359.80 = 124,917.20/x
  3. Step 3: Cross multiply
    142,427.60x = 213,359.80 × 124,917.20
  4. Step 4: Simplify right side
    142,427.60x = 26,652,308,808.56
  5. Step 5: Solve for x
    x = 26,652,308,808.56/142,427.60
  6. Step 6: Final answer
    x = 187,128.82

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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.