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Finding the Fourth Proportional to 102,795.67, 154,251.83 and 40,509.91

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Solution

The fourth proportional to 102,795.67, 154,251.83 and 40,509.91 is: 60,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,795.67 : 154,251.83 = 40,509.91 : x
  2. Step 2: Convert to fraction form
    102,795.67/154,251.83 = 40,509.91/x
  3. Step 3: Cross multiply
    102,795.67x = 154,251.83 × 40,509.91
  4. Step 4: Simplify right side
    102,795.67x = 6,248,727,750.64
  5. Step 5: Solve for x
    x = 6,248,727,750.64/102,795.67
  6. Step 6: Final answer
    x = 60,787.85

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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.