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Finding the Fourth Proportional to 102,708.70, 154,077.45 and 40,364.70

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Solution

The fourth proportional to 102,708.70, 154,077.45 and 40,364.70 is: 60,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,708.70 : 154,077.45 = 40,364.70 : x
  2. Step 2: Convert to fraction form
    102,708.70/154,077.45 = 40,364.70/x
  3. Step 3: Cross multiply
    102,708.70x = 154,077.45 × 40,364.70
  4. Step 4: Simplify right side
    102,708.70x = 6,219,290,046.02
  5. Step 5: Solve for x
    x = 6,219,290,046.02/102,708.70
  6. Step 6: Final answer
    x = 60,552.71

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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.