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Finding the Fourth Proportional to 208,402.68, 312,618.46 and 83,743.72

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Solution

The fourth proportional to 208,402.68, 312,618.46 and 83,743.72 is: 125,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,402.68 : 312,618.46 = 83,743.72 : x
  2. Step 2: Convert to fraction form
    208,402.68/312,618.46 = 83,743.72/x
  3. Step 3: Cross multiply
    208,402.68x = 312,618.46 × 83,743.72
  4. Step 4: Simplify right side
    208,402.68x = 26,179,832,781.07
  5. Step 5: Solve for x
    x = 26,179,832,781.07/208,402.68
  6. Step 6: Final answer
    x = 125,621.38

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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.