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Finding the Fourth Proportional to 208,437.48, 287,645.04 and 112,944.96

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Solution

The fourth proportional to 208,437.48, 287,645.04 and 112,944.96 is: 155,864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,437.48 : 287,645.04 = 112,944.96 : x
  2. Step 2: Convert to fraction form
    208,437.48/287,645.04 = 112,944.96/x
  3. Step 3: Cross multiply
    208,437.48x = 287,645.04 × 112,944.96
  4. Step 4: Simplify right side
    208,437.48x = 32,488,057,537.00
  5. Step 5: Solve for x
    x = 32,488,057,537.00/208,437.48
  6. Step 6: Final answer
    x = 155,864.76

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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.