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Finding the Fourth Proportional to 138,186.89, 207,108.99 and 98,142.02

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Solution

The fourth proportional to 138,186.89, 207,108.99 and 98,142.02 is: 147,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,186.89 : 207,108.99 = 98,142.02 : x
  2. Step 2: Convert to fraction form
    138,186.89/207,108.99 = 98,142.02/x
  3. Step 3: Cross multiply
    138,186.89x = 207,108.99 × 98,142.02
  4. Step 4: Simplify right side
    138,186.89x = 20,326,093,603.21
  5. Step 5: Solve for x
    x = 20,326,093,603.21/138,186.89
  6. Step 6: Final answer
    x = 147,091.34

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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.