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Finding the Fourth Proportional to 78,082.66, 107,754.63 and 42,272.77

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Solution

The fourth proportional to 78,082.66, 107,754.63 and 42,272.77 is: 58,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,082.66 : 107,754.63 = 42,272.77 : x
  2. Step 2: Convert to fraction form
    78,082.66/107,754.63 = 42,272.77/x
  3. Step 3: Cross multiply
    78,082.66x = 107,754.63 × 42,272.77
  4. Step 4: Simplify right side
    78,082.66x = 4,555,085,940.29
  5. Step 5: Solve for x
    x = 4,555,085,940.29/78,082.66
  6. Step 6: Final answer
    x = 58,336.72

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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.