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Finding the Fourth Proportional to 81,599.40, 112,621.39 and 47,628

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Solution

The fourth proportional to 81,599.40, 112,621.39 and 47,628 is: 65,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,599.40 : 112,621.39 = 47,628 : x
  2. Step 2: Convert to fraction form
    81,599.40/112,621.39 = 47,628/x
  3. Step 3: Cross multiply
    81,599.40x = 112,621.39 × 47,628
  4. Step 4: Simplify right side
    81,599.40x = 5,363,931,443.85
  5. Step 5: Solve for x
    x = 5,363,931,443.85/81,599.40
  6. Step 6: Final answer
    x = 65,734.94

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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.