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Finding the Fourth Proportional to 135,099.78, 202,585.98 and 78,956.04

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Solution

The fourth proportional to 135,099.78, 202,585.98 and 78,956.04 is: 118,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,099.78 : 202,585.98 = 78,956.04 : x
  2. Step 2: Convert to fraction form
    135,099.78/202,585.98 = 78,956.04/x
  3. Step 3: Cross multiply
    135,099.78x = 202,585.98 × 78,956.04
  4. Step 4: Simplify right side
    135,099.78x = 15,995,386,740.32
  5. Step 5: Solve for x
    x = 15,995,386,740.32/135,099.78
  6. Step 6: Final answer
    x = 118,396.84

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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.