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Finding the Fourth Proportional to 84,282.60, 126,374.64 and 31,696.20

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Solution

The fourth proportional to 84,282.60, 126,374.64 and 31,696.20 is: 47,525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,282.60 : 126,374.64 = 31,696.20 : x
  2. Step 2: Convert to fraction form
    84,282.60/126,374.64 = 31,696.20/x
  3. Step 3: Cross multiply
    84,282.60x = 126,374.64 × 31,696.20
  4. Step 4: Simplify right side
    84,282.60x = 4,005,595,864.37
  5. Step 5: Solve for x
    x = 4,005,595,864.37/84,282.60
  6. Step 6: Final answer
    x = 47,525.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.