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Finding the Fourth Proportional to 99,423.65, 149,135.48 and 81,856.57

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Solution

The fourth proportional to 99,423.65, 149,135.48 and 81,856.57 is: 122,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,423.65 : 149,135.48 = 81,856.57 : x
  2. Step 2: Convert to fraction form
    99,423.65/149,135.48 = 81,856.57/x
  3. Step 3: Cross multiply
    99,423.65x = 149,135.48 × 81,856.57
  4. Step 4: Simplify right side
    99,423.65x = 12,207,718,858.10
  5. Step 5: Solve for x
    x = 12,207,718,858.10/99,423.65
  6. Step 6: Final answer
    x = 122,784.86

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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.