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Finding the Fourth Proportional to 78,046.68, 107,692.86 and 47,403.84

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Solution

The fourth proportional to 78,046.68, 107,692.86 and 47,403.84 is: 65,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,046.68 : 107,692.86 = 47,403.84 : x
  2. Step 2: Convert to fraction form
    78,046.68/107,692.86 = 47,403.84/x
  3. Step 3: Cross multiply
    78,046.68x = 107,692.86 × 47,403.84
  4. Step 4: Simplify right side
    78,046.68x = 5,105,055,104.58
  5. Step 5: Solve for x
    x = 5,105,055,104.58/78,046.68
  6. Step 6: Final answer
    x = 65,410.28

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1.5x scale

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.