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Finding the Fourth Proportional to 78,462.72, 108,277.68 and 58,409.28

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Solution

The fourth proportional to 78,462.72, 108,277.68 and 58,409.28 is: 80,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,462.72 : 108,277.68 = 58,409.28 : x
  2. Step 2: Convert to fraction form
    78,462.72/108,277.68 = 58,409.28/x
  3. Step 3: Cross multiply
    78,462.72x = 108,277.68 × 58,409.28
  4. Step 4: Simplify right side
    78,462.72x = 6,324,421,328.87
  5. Step 5: Solve for x
    x = 6,324,421,328.87/78,462.72
  6. Step 6: Final answer
    x = 80,604.16

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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.