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Finding the Fourth Proportional to 136,902.78, 188,913.51 and 76,468.14

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Solution

The fourth proportional to 136,902.78, 188,913.51 and 76,468.14 is: 105,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,902.78 : 188,913.51 = 76,468.14 : x
  2. Step 2: Convert to fraction form
    136,902.78/188,913.51 = 76,468.14/x
  3. Step 3: Cross multiply
    136,902.78x = 188,913.51 × 76,468.14
  4. Step 4: Simplify right side
    136,902.78x = 14,445,864,730.57
  5. Step 5: Solve for x
    x = 14,445,864,730.57/136,902.78
  6. Step 6: Final answer
    x = 105,519.15

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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.