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Finding the Fourth Proportional to 78,065.80, 107,731.08 and 42,255.77

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Solution

The fourth proportional to 78,065.80, 107,731.08 and 42,255.77 is: 58,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,065.80 : 107,731.08 = 42,255.77 : x
  2. Step 2: Convert to fraction form
    78,065.80/107,731.08 = 42,255.77/x
  3. Step 3: Cross multiply
    78,065.80x = 107,731.08 × 42,255.77
  4. Step 4: Simplify right side
    78,065.80x = 4,552,259,199.68
  5. Step 5: Solve for x
    x = 4,552,259,199.68/78,065.80
  6. Step 6: Final answer
    x = 58,313.11

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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.