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Finding the Fourth Proportional to 78,480.56, 108,255.12 and 73,231.76

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Solution

The fourth proportional to 78,480.56, 108,255.12 and 73,231.76 is: 101,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,480.56 : 108,255.12 = 73,231.76 : x
  2. Step 2: Convert to fraction form
    78,480.56/108,255.12 = 73,231.76/x
  3. Step 3: Cross multiply
    78,480.56x = 108,255.12 × 73,231.76
  4. Step 4: Simplify right side
    78,480.56x = 7,927,712,966.61
  5. Step 5: Solve for x
    x = 7,927,712,966.61/78,480.56
  6. Step 6: Final answer
    x = 101,014.99

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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.