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Finding the Fourth Proportional to 208,988, 313,174.72 and 123,510.88

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Solution

The fourth proportional to 208,988, 313,174.72 and 123,510.88 is: 185,084.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,988 : 313,174.72 = 123,510.88 : x
  2. Step 2: Convert to fraction form
    208,988/313,174.72 = 123,510.88/x
  3. Step 3: Cross multiply
    208,988x = 313,174.72 × 123,510.88
  4. Step 4: Simplify right side
    208,988x = 38,680,485,260.95
  5. Step 5: Solve for x
    x = 38,680,485,260.95/208,988
  6. Step 6: Final answer
    x = 185,084.72

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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.