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Finding the Fourth Proportional to 105,115.90, 157,414.65 and 69,864.70

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Solution

The fourth proportional to 105,115.90, 157,414.65 and 69,864.70 is: 104,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,115.90 : 157,414.65 = 69,864.70 : x
  2. Step 2: Convert to fraction form
    105,115.90/157,414.65 = 69,864.70/x
  3. Step 3: Cross multiply
    105,115.90x = 157,414.65 × 69,864.70
  4. Step 4: Simplify right side
    105,115.90x = 10,997,727,297.86
  5. Step 5: Solve for x
    x = 10,997,727,297.86/105,115.90
  6. Step 6: Final answer
    x = 104,624.77

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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.