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Finding the Fourth Proportional to 76,854.32, 106,063.84 and 43,322.48

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Solution

The fourth proportional to 76,854.32, 106,063.84 and 43,322.48 is: 59,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,854.32 : 106,063.84 = 43,322.48 : x
  2. Step 2: Convert to fraction form
    76,854.32/106,063.84 = 43,322.48/x
  3. Step 3: Cross multiply
    76,854.32x = 106,063.84 × 43,322.48
  4. Step 4: Simplify right side
    76,854.32x = 4,594,948,587.12
  5. Step 5: Solve for x
    x = 4,594,948,587.12/76,854.32
  6. Step 6: Final answer
    x = 59,787.77

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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.