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Finding the Fourth Proportional to 78,334.77, 108,101.86 and 42,524.80

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Solution

The fourth proportional to 78,334.77, 108,101.86 and 42,524.80 is: 58,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,334.77 : 108,101.86 = 42,524.80 : x
  2. Step 2: Convert to fraction form
    78,334.77/108,101.86 = 42,524.80/x
  3. Step 3: Cross multiply
    78,334.77x = 108,101.86 × 42,524.80
  4. Step 4: Simplify right side
    78,334.77x = 4,597,009,976.13
  5. Step 5: Solve for x
    x = 4,597,009,976.13/78,334.77
  6. Step 6: Final answer
    x = 58,684.16

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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.