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Finding the Fourth Proportional to 138,921.40, 208,074.90 and 55,772.60

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Solution

The fourth proportional to 138,921.40, 208,074.90 and 55,772.60 is: 83,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,921.40 : 208,074.90 = 55,772.60 : x
  2. Step 2: Convert to fraction form
    138,921.40/208,074.90 = 55,772.60/x
  3. Step 3: Cross multiply
    138,921.40x = 208,074.90 × 55,772.60
  4. Step 4: Simplify right side
    138,921.40x = 11,604,878,167.74
  5. Step 5: Solve for x
    x = 11,604,878,167.74/138,921.40
  6. Step 6: Final answer
    x = 83,535.57

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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.