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Finding the Fourth Proportional to 100,870.32, 151,286 and 30,756.72

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Solution

The fourth proportional to 100,870.32, 151,286 and 30,756.72 is: 46,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,870.32 : 151,286 = 30,756.72 : x
  2. Step 2: Convert to fraction form
    100,870.32/151,286 = 30,756.72/x
  3. Step 3: Cross multiply
    100,870.32x = 151,286 × 30,756.72
  4. Step 4: Simplify right side
    100,870.32x = 4,653,061,141.92
  5. Step 5: Solve for x
    x = 4,653,061,141.92/100,870.32
  6. Step 6: Final answer
    x = 46,129.14

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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.