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Finding the Fourth Proportional to 208,078.80, 287,149.48 and 112,585.49

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Solution

The fourth proportional to 208,078.80, 287,149.48 and 112,585.49 is: 155,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,078.80 : 287,149.48 = 112,585.49 : x
  2. Step 2: Convert to fraction form
    208,078.80/287,149.48 = 112,585.49/x
  3. Step 3: Cross multiply
    208,078.80x = 287,149.48 × 112,585.49
  4. Step 4: Simplify right side
    208,078.80x = 32,328,864,909.05
  5. Step 5: Solve for x
    x = 32,328,864,909.05/208,078.80
  6. Step 6: Final answer
    x = 155,368.37

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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.