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Finding the Fourth Proportional to 78,581.72, 108,445.11 and 48,384.46

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Solution

The fourth proportional to 78,581.72, 108,445.11 and 48,384.46 is: 66,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,581.72 : 108,445.11 = 48,384.46 : x
  2. Step 2: Convert to fraction form
    78,581.72/108,445.11 = 48,384.46/x
  3. Step 3: Cross multiply
    78,581.72x = 108,445.11 × 48,384.46
  4. Step 4: Simplify right side
    78,581.72x = 5,247,058,086.99
  5. Step 5: Solve for x
    x = 5,247,058,086.99/78,581.72
  6. Step 6: Final answer
    x = 66,771.99

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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.