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Finding the Fourth Proportional to 105,080.92, 157,414.02 and 78,815.32

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Solution

The fourth proportional to 105,080.92, 157,414.02 and 78,815.32 is: 118,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,080.92 : 157,414.02 = 78,815.32 : x
  2. Step 2: Convert to fraction form
    105,080.92/157,414.02 = 78,815.32/x
  3. Step 3: Cross multiply
    105,080.92x = 157,414.02 × 78,815.32
  4. Step 4: Simplify right side
    105,080.92x = 12,406,636,358.79
  5. Step 5: Solve for x
    x = 12,406,636,358.79/105,080.92
  6. Step 6: Final answer
    x = 118,067.45

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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.