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Finding the Fourth Proportional to 208,091.82, 287,165.78 and 112,600.20

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Solution

The fourth proportional to 208,091.82, 287,165.78 and 112,600.20 is: 155,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,091.82 : 287,165.78 = 112,600.20 : x
  2. Step 2: Convert to fraction form
    208,091.82/287,165.78 = 112,600.20/x
  3. Step 3: Cross multiply
    208,091.82x = 287,165.78 × 112,600.20
  4. Step 4: Simplify right side
    208,091.82x = 32,334,924,261.16
  5. Step 5: Solve for x
    x = 32,334,924,261.16/208,091.82
  6. Step 6: Final answer
    x = 155,387.77

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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.