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Finding the Fourth Proportional to 208,452.64, 287,663.52 and 112,956.88

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Solution

The fourth proportional to 208,452.64, 287,663.52 and 112,956.88 is: 155,879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,452.64 : 287,663.52 = 112,956.88 : x
  2. Step 2: Convert to fraction form
    208,452.64/287,663.52 = 112,956.88/x
  3. Step 3: Cross multiply
    208,452.64x = 287,663.52 × 112,956.88
  4. Step 4: Simplify right side
    208,452.64x = 32,493,573,709.02
  5. Step 5: Solve for x
    x = 32,493,573,709.02/208,452.64
  6. Step 6: Final answer
    x = 155,879.89

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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.