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Finding the Fourth Proportional to 208,231.04, 287,359 and 112,737.80

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Solution

The fourth proportional to 208,231.04, 287,359 and 112,737.80 is: 155,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,231.04 : 287,359 = 112,737.80 : x
  2. Step 2: Convert to fraction form
    208,231.04/287,359 = 112,737.80/x
  3. Step 3: Cross multiply
    208,231.04x = 287,359 × 112,737.80
  4. Step 4: Simplify right side
    208,231.04x = 32,396,221,470.20
  5. Step 5: Solve for x
    x = 32,396,221,470.20/208,231.04
  6. Step 6: Final answer
    x = 155,578.25

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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.