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Finding the Fourth Proportional to 208,444, 287,652.72 and 112,949.92

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Solution

The fourth proportional to 208,444, 287,652.72 and 112,949.92 is: 155,870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,444 : 287,652.72 = 112,949.92 : x
  2. Step 2: Convert to fraction form
    208,444/287,652.72 = 112,949.92/x
  3. Step 3: Cross multiply
    208,444x = 287,652.72 × 112,949.92
  4. Step 4: Simplify right side
    208,444x = 32,490,351,711.78
  5. Step 5: Solve for x
    x = 32,490,351,711.78/208,444
  6. Step 6: Final answer
    x = 155,870.89

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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.