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Finding the Fourth Proportional to 106,536.65, 159,652.69 and 78,234.71

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Solution

The fourth proportional to 106,536.65, 159,652.69 and 78,234.71 is: 117,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,536.65 : 159,652.69 = 78,234.71 : x
  2. Step 2: Convert to fraction form
    106,536.65/159,652.69 = 78,234.71/x
  3. Step 3: Cross multiply
    106,536.65x = 159,652.69 × 78,234.71
  4. Step 4: Simplify right side
    106,536.65x = 12,490,380,909.02
  5. Step 5: Solve for x
    x = 12,490,380,909.02/106,536.65
  6. Step 6: Final answer
    x = 117,240.23

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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.