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Finding the Fourth Proportional to 138,931.98, 208,398.48 and 33,750.95

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Solution

The fourth proportional to 138,931.98, 208,398.48 and 33,750.95 is: 50,626.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,931.98 : 208,398.48 = 33,750.95 : x
  2. Step 2: Convert to fraction form
    138,931.98/208,398.48 = 33,750.95/x
  3. Step 3: Cross multiply
    138,931.98x = 208,398.48 × 33,750.95
  4. Step 4: Simplify right side
    138,931.98x = 7,033,646,678.56
  5. Step 5: Solve for x
    x = 7,033,646,678.56/138,931.98
  6. Step 6: Final answer
    x = 50,626.55

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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.