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Finding the Fourth Proportional to 81,405.49, 112,343.04 and 47,408.50

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Solution

The fourth proportional to 81,405.49, 112,343.04 and 47,408.50 is: 65,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405.49 : 112,343.04 = 47,408.50 : x
  2. Step 2: Convert to fraction form
    81,405.49/112,343.04 = 47,408.50/x
  3. Step 3: Cross multiply
    81,405.49x = 112,343.04 × 47,408.50
  4. Step 4: Simplify right side
    81,405.49x = 5,326,015,011.84
  5. Step 5: Solve for x
    x = 5,326,015,011.84/81,405.49
  6. Step 6: Final answer
    x = 65,425.75

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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.