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Finding the Fourth Proportional to 138,144.48, 190,635.12 and 77,718.48

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Solution

The fourth proportional to 138,144.48, 190,635.12 and 77,718.48 is: 107,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,144.48 : 190,635.12 = 77,718.48 : x
  2. Step 2: Convert to fraction form
    138,144.48/190,635.12 = 77,718.48/x
  3. Step 3: Cross multiply
    138,144.48x = 190,635.12 × 77,718.48
  4. Step 4: Simplify right side
    138,144.48x = 14,815,871,761.02
  5. Step 5: Solve for x
    x = 14,815,871,761.02/138,144.48
  6. Step 6: Final answer
    x = 107,249.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.