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Finding the Fourth Proportional to 78,646.96, 108,686.96 and 69,898.96

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Solution

The fourth proportional to 78,646.96, 108,686.96 and 69,898.96 is: 96,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,646.96 : 108,686.96 = 69,898.96 : x
  2. Step 2: Convert to fraction form
    78,646.96/108,686.96 = 69,898.96/x
  3. Step 3: Cross multiply
    78,646.96x = 108,686.96 × 69,898.96
  4. Step 4: Simplify right side
    78,646.96x = 7,597,105,469.56
  5. Step 5: Solve for x
    x = 7,597,105,469.56/78,646.96
  6. Step 6: Final answer
    x = 96,597.57

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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.