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Finding the Fourth Proportional to 138,515.80, 207,255.30 and 91,859.80

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Solution

The fourth proportional to 138,515.80, 207,255.30 and 91,859.80 is: 137,445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,515.80 : 207,255.30 = 91,859.80 : x
  2. Step 2: Convert to fraction form
    138,515.80/207,255.30 = 91,859.80/x
  3. Step 3: Cross multiply
    138,515.80x = 207,255.30 × 91,859.80
  4. Step 4: Simplify right side
    138,515.80x = 19,038,430,406.94
  5. Step 5: Solve for x
    x = 19,038,430,406.94/138,515.80
  6. Step 6: Final answer
    x = 137,445.91

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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.