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Finding the Fourth Proportional to 208,147.41, 287,243.42 and 112,654.11

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Solution

The fourth proportional to 208,147.41, 287,243.42 and 112,654.11 is: 155,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,147.41 : 287,243.42 = 112,654.11 : x
  2. Step 2: Convert to fraction form
    208,147.41/287,243.42 = 112,654.11/x
  3. Step 3: Cross multiply
    208,147.41x = 287,243.42 × 112,654.11
  4. Step 4: Simplify right side
    208,147.41x = 32,359,150,397.24
  5. Step 5: Solve for x
    x = 32,359,150,397.24/208,147.41
  6. Step 6: Final answer
    x = 155,462.66

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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.