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Finding the Fourth Proportional to 78,097.96, 107,724.90 and 60,161.32

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Solution

The fourth proportional to 78,097.96, 107,724.90 and 60,161.32 is: 82,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,097.96 : 107,724.90 = 60,161.32 : x
  2. Step 2: Convert to fraction form
    78,097.96/107,724.90 = 60,161.32/x
  3. Step 3: Cross multiply
    78,097.96x = 107,724.90 × 60,161.32
  4. Step 4: Simplify right side
    78,097.96x = 6,480,872,180.87
  5. Step 5: Solve for x
    x = 6,480,872,180.87/78,097.96
  6. Step 6: Final answer
    x = 82,983.89

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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.