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Finding the Fourth Proportional to 208,760.96, 312,969.92 and 96,417.28

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Solution

The fourth proportional to 208,760.96, 312,969.92 and 96,417.28 is: 144,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,760.96 : 312,969.92 = 96,417.28 : x
  2. Step 2: Convert to fraction form
    208,760.96/312,969.92 = 96,417.28/x
  3. Step 3: Cross multiply
    208,760.96x = 312,969.92 × 96,417.28
  4. Step 4: Simplify right side
    208,760.96x = 30,175,708,408.22
  5. Step 5: Solve for x
    x = 30,175,708,408.22/208,760.96
  6. Step 6: Final answer
    x = 144,546.70

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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.