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Finding the Fourth Proportional to 208,149.27, 287,246.85 and 112,655.94

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Solution

The fourth proportional to 208,149.27, 287,246.85 and 112,655.94 is: 155,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,149.27 : 287,246.85 = 112,655.94 : x
  2. Step 2: Convert to fraction form
    208,149.27/287,246.85 = 112,655.94/x
  3. Step 3: Cross multiply
    208,149.27x = 287,246.85 × 112,655.94
  4. Step 4: Simplify right side
    208,149.27x = 32,360,063,898.79
  5. Step 5: Solve for x
    x = 32,360,063,898.79/208,149.27
  6. Step 6: Final answer
    x = 155,465.66

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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.