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Finding the Fourth Proportional to 208,472.28, 287,692 and 112,978.98

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Solution

The fourth proportional to 208,472.28, 287,692 and 112,978.98 is: 155,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,472.28 : 287,692 = 112,978.98 : x
  2. Step 2: Convert to fraction form
    208,472.28/287,692 = 112,978.98/x
  3. Step 3: Cross multiply
    208,472.28x = 287,692 × 112,978.98
  4. Step 4: Simplify right side
    208,472.28x = 32,503,148,714.16
  5. Step 5: Solve for x
    x = 32,503,148,714.16/208,472.28
  6. Step 6: Final answer
    x = 155,911.13

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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.