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Finding the Fourth Proportional to 208,567.28, 312,877.12 and 101,954.68

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Solution

The fourth proportional to 208,567.28, 312,877.12 and 101,954.68 is: 152,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,567.28 : 312,877.12 = 101,954.68 : x
  2. Step 2: Convert to fraction form
    208,567.28/312,877.12 = 101,954.68/x
  3. Step 3: Cross multiply
    208,567.28x = 312,877.12 × 101,954.68
  4. Step 4: Simplify right side
    208,567.28x = 31,899,286,648.92
  5. Step 5: Solve for x
    x = 31,899,286,648.92/208,567.28
  6. Step 6: Final answer
    x = 152,944.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.