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Finding the Fourth Proportional to 138,850, 208,275.60 and 33,669.16

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Solution

The fourth proportional to 138,850, 208,275.60 and 33,669.16 is: 50,503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,850 : 208,275.60 = 33,669.16 : x
  2. Step 2: Convert to fraction form
    138,850/208,275.60 = 33,669.16/x
  3. Step 3: Cross multiply
    138,850x = 208,275.60 × 33,669.16
  4. Step 4: Simplify right side
    138,850x = 7,012,464,500.50
  5. Step 5: Solve for x
    x = 7,012,464,500.50/138,850
  6. Step 6: Final answer
    x = 50,503.89

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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.