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Finding the Fourth Proportional to 208,425.90, 287,628 and 112,932.57

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Solution

The fourth proportional to 208,425.90, 287,628 and 112,932.57 is: 155,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,425.90 : 287,628 = 112,932.57 : x
  2. Step 2: Convert to fraction form
    208,425.90/287,628 = 112,932.57/x
  3. Step 3: Cross multiply
    208,425.90x = 287,628 × 112,932.57
  4. Step 4: Simplify right side
    208,425.90x = 32,482,569,243.96
  5. Step 5: Solve for x
    x = 32,482,569,243.96/208,425.90
  6. Step 6: Final answer
    x = 155,847.09

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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.