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Finding the Fourth Proportional to 78,856.83, 108,824.85 and 43,049.16

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Solution

The fourth proportional to 78,856.83, 108,824.85 and 43,049.16 is: 59,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,856.83 : 108,824.85 = 43,049.16 : x
  2. Step 2: Convert to fraction form
    78,856.83/108,824.85 = 43,049.16/x
  3. Step 3: Cross multiply
    78,856.83x = 108,824.85 × 43,049.16
  4. Step 4: Simplify right side
    78,856.83x = 4,684,818,379.63
  5. Step 5: Solve for x
    x = 4,684,818,379.63/78,856.83
  6. Step 6: Final answer
    x = 59,409.16

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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.