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Finding the Fourth Proportional to 114,912, 172,378.08 and 31,806.72

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Solution

The fourth proportional to 114,912, 172,378.08 and 31,806.72 is: 47,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,912 : 172,378.08 = 31,806.72 : x
  2. Step 2: Convert to fraction form
    114,912/172,378.08 = 31,806.72/x
  3. Step 3: Cross multiply
    114,912x = 172,378.08 × 31,806.72
  4. Step 4: Simplify right side
    114,912x = 5,482,781,324.70
  5. Step 5: Solve for x
    x = 5,482,781,324.70/114,912
  6. Step 6: Final answer
    x = 47,712.87

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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.