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Finding the Fourth Proportional to 208,207.97, 287,327.93 and 112,714.66

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Solution

The fourth proportional to 208,207.97, 287,327.93 and 112,714.66 is: 155,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,207.97 : 287,327.93 = 112,714.66 : x
  2. Step 2: Convert to fraction form
    208,207.97/287,327.93 = 112,714.66/x
  3. Step 3: Cross multiply
    208,207.97x = 287,327.93 × 112,714.66
  4. Step 4: Simplify right side
    208,207.97x = 32,386,069,734.04
  5. Step 5: Solve for x
    x = 32,386,069,734.04/208,207.97
  6. Step 6: Final answer
    x = 155,546.73

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1.5x scale

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.