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Finding the Fourth Proportional to 78,405.77, 117,493.84 and 38,883.95

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Solution

The fourth proportional to 78,405.77, 117,493.84 and 38,883.95 is: 58,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,405.77 : 117,493.84 = 38,883.95 : x
  2. Step 2: Convert to fraction form
    78,405.77/117,493.84 = 38,883.95/x
  3. Step 3: Cross multiply
    78,405.77x = 117,493.84 × 38,883.95
  4. Step 4: Simplify right side
    78,405.77x = 4,568,624,501.61
  5. Step 5: Solve for x
    x = 4,568,624,501.61/78,405.77
  6. Step 6: Final answer
    x = 58,268.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.