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Finding the Fourth Proportional to 208,280.29, 287,426.73 and 112,786.96

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Solution

The fourth proportional to 208,280.29, 287,426.73 and 112,786.96 is: 155,645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,280.29 : 287,426.73 = 112,786.96 : x
  2. Step 2: Convert to fraction form
    208,280.29/287,426.73 = 112,786.96/x
  3. Step 3: Cross multiply
    208,280.29x = 287,426.73 × 112,786.96
  4. Step 4: Simplify right side
    208,280.29x = 32,417,987,099.44
  5. Step 5: Solve for x
    x = 32,417,987,099.44/208,280.29
  6. Step 6: Final answer
    x = 155,645.97

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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.