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Finding the Fourth Proportional to 208,454.97, 287,668.10 and 112,960.83

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Solution

The fourth proportional to 208,454.97, 287,668.10 and 112,960.83 is: 155,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,454.97 : 287,668.10 = 112,960.83 : x
  2. Step 2: Convert to fraction form
    208,454.97/287,668.10 = 112,960.83/x
  3. Step 3: Cross multiply
    208,454.97x = 287,668.10 × 112,960.83
  4. Step 4: Simplify right side
    208,454.97x = 32,495,226,775.72
  5. Step 5: Solve for x
    x = 32,495,226,775.72/208,454.97
  6. Step 6: Final answer
    x = 155,886.07

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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.