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Finding the Fourth Proportional to 138,907.92, 208,058.40 and 85,437.12

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Solution

The fourth proportional to 138,907.92, 208,058.40 and 85,437.12 is: 127,969.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,907.92 : 208,058.40 = 85,437.12 : x
  2. Step 2: Convert to fraction form
    138,907.92/208,058.40 = 85,437.12/x
  3. Step 3: Cross multiply
    138,907.92x = 208,058.40 × 85,437.12
  4. Step 4: Simplify right side
    138,907.92x = 17,775,910,487.81
  5. Step 5: Solve for x
    x = 17,775,910,487.81/138,907.92
  6. Step 6: Final answer
    x = 127,969.02

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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.