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Finding the Fourth Proportional to 208,471.53, 287,690.96 and 112,978.23

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Solution

The fourth proportional to 208,471.53, 287,690.96 and 112,978.23 is: 155,910.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,471.53 : 287,690.96 = 112,978.23 : x
  2. Step 2: Convert to fraction form
    208,471.53/287,690.96 = 112,978.23/x
  3. Step 3: Cross multiply
    208,471.53x = 287,690.96 × 112,978.23
  4. Step 4: Simplify right side
    208,471.53x = 32,502,815,447.80
  5. Step 5: Solve for x
    x = 32,502,815,447.80/208,471.53
  6. Step 6: Final answer
    x = 155,910.09

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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.