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Finding the Fourth Proportional to 224,689.12, 310,071.12 and 122,716

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Solution

The fourth proportional to 224,689.12, 310,071.12 and 122,716 is: 169,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,689.12 : 310,071.12 = 122,716 : x
  2. Step 2: Convert to fraction form
    224,689.12/310,071.12 = 122,716/x
  3. Step 3: Cross multiply
    224,689.12x = 310,071.12 × 122,716
  4. Step 4: Simplify right side
    224,689.12x = 38,050,687,561.92
  5. Step 5: Solve for x
    x = 38,050,687,561.92/224,689.12
  6. Step 6: Final answer
    x = 169,348.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.