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Finding the Fourth Proportional to 208,109.11, 287,191.28 and 112,615.78

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Solution

The fourth proportional to 208,109.11, 287,191.28 and 112,615.78 is: 155,410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,109.11 : 287,191.28 = 112,615.78 : x
  2. Step 2: Convert to fraction form
    208,109.11/287,191.28 = 112,615.78/x
  3. Step 3: Cross multiply
    208,109.11x = 287,191.28 × 112,615.78
  4. Step 4: Simplify right side
    208,109.11x = 32,342,269,569.96
  5. Step 5: Solve for x
    x = 32,342,269,569.96/208,109.11
  6. Step 6: Final answer
    x = 155,410.16

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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.