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Finding the Fourth Proportional to 208,225.96, 287,377.86 and 123,375.40

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Solution

The fourth proportional to 208,225.96, 287,377.86 and 123,375.40 is: 170,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,225.96 : 287,377.86 = 123,375.40 : x
  2. Step 2: Convert to fraction form
    208,225.96/287,377.86 = 123,375.40/x
  3. Step 3: Cross multiply
    208,225.96x = 287,377.86 × 123,375.40
  4. Step 4: Simplify right side
    208,225.96x = 35,455,358,428.64
  5. Step 5: Solve for x
    x = 35,455,358,428.64/208,225.96
  6. Step 6: Final answer
    x = 170,273.48

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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.