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Finding the Fourth Proportional to 47,145.65, 70,718.87 and 12,085.61

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Solution

The fourth proportional to 47,145.65, 70,718.87 and 12,085.61 is: 18,128.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,145.65 : 70,718.87 = 12,085.61 : x
  2. Step 2: Convert to fraction form
    47,145.65/70,718.87 = 12,085.61/x
  3. Step 3: Cross multiply
    47,145.65x = 70,718.87 × 12,085.61
  4. Step 4: Simplify right side
    47,145.65x = 854,680,359.08
  5. Step 5: Solve for x
    x = 854,680,359.08/47,145.65
  6. Step 6: Final answer
    x = 18,128.51

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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.