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Finding the Fourth Proportional to 81,761.32, 112,826.98 and 47,772.96

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Solution

The fourth proportional to 81,761.32, 112,826.98 and 47,772.96 is: 65,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,761.32 : 112,826.98 = 47,772.96 : x
  2. Step 2: Convert to fraction form
    81,761.32/112,826.98 = 47,772.96/x
  3. Step 3: Cross multiply
    81,761.32x = 112,826.98 × 47,772.96
  4. Step 4: Simplify right side
    81,761.32x = 5,390,078,802.46
  5. Step 5: Solve for x
    x = 5,390,078,802.46/81,761.32
  6. Step 6: Final answer
    x = 65,924.56

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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.