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Finding the Fourth Proportional to 102,901.55, 154,152.59 and 75,834.74

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Solution

The fourth proportional to 102,901.55, 154,152.59 and 75,834.74 is: 113,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,901.55 : 154,152.59 = 75,834.74 : x
  2. Step 2: Convert to fraction form
    102,901.55/154,152.59 = 75,834.74/x
  3. Step 3: Cross multiply
    102,901.55x = 154,152.59 × 75,834.74
  4. Step 4: Simplify right side
    102,901.55x = 11,690,121,582.98
  5. Step 5: Solve for x
    x = 11,690,121,582.98/102,901.55
  6. Step 6: Final answer
    x = 113,604.91

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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.