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Finding the Fourth Proportional to 208,677.38, 312,979.71 and 96,348.02

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Solution

The fourth proportional to 208,677.38, 312,979.71 and 96,348.02 is: 144,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,677.38 : 312,979.71 = 96,348.02 : x
  2. Step 2: Convert to fraction form
    208,677.38/312,979.71 = 96,348.02/x
  3. Step 3: Cross multiply
    208,677.38x = 312,979.71 × 96,348.02
  4. Step 4: Simplify right side
    208,677.38x = 30,154,975,358.67
  5. Step 5: Solve for x
    x = 30,154,975,358.67/208,677.38
  6. Step 6: Final answer
    x = 144,505.24

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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.