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Finding the Fourth Proportional to 138,430.40, 207,568.80 and 55,230.40

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Solution

The fourth proportional to 138,430.40, 207,568.80 and 55,230.40 is: 82,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,430.40 : 207,568.80 = 55,230.40 : x
  2. Step 2: Convert to fraction form
    138,430.40/207,568.80 = 55,230.40/x
  3. Step 3: Cross multiply
    138,430.40x = 207,568.80 × 55,230.40
  4. Step 4: Simplify right side
    138,430.40x = 11,464,107,851.52
  5. Step 5: Solve for x
    x = 11,464,107,851.52/138,430.40
  6. Step 6: Final answer
    x = 82,814.96

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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.