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Finding the Fourth Proportional to 208,838.94, 288,197.90 and 113,345.61

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Solution

The fourth proportional to 208,838.94, 288,197.90 and 113,345.61 is: 156,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,838.94 : 288,197.90 = 113,345.61 : x
  2. Step 2: Convert to fraction form
    208,838.94/288,197.90 = 113,345.61/x
  3. Step 3: Cross multiply
    208,838.94x = 288,197.90 × 113,345.61
  4. Step 4: Simplify right side
    208,838.94x = 32,665,966,209.49
  5. Step 5: Solve for x
    x = 32,665,966,209.49/208,838.94
  6. Step 6: Final answer
    x = 156,417.03

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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.