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Finding the Fourth Proportional to 102,903.35, 154,155.29 and 75,836.57

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Solution

The fourth proportional to 102,903.35, 154,155.29 and 75,836.57 is: 113,607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,903.35 : 154,155.29 = 75,836.57 : x
  2. Step 2: Convert to fraction form
    102,903.35/154,155.29 = 75,836.57/x
  3. Step 3: Cross multiply
    102,903.35x = 154,155.29 × 75,836.57
  4. Step 4: Simplify right side
    102,903.35x = 11,690,607,291.00
  5. Step 5: Solve for x
    x = 11,690,607,291.00/102,903.35
  6. Step 6: Final answer
    x = 113,607.65

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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.