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Finding the Fourth Proportional to 81,806.40, 112,964.40 and 51,645.60

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Solution

The fourth proportional to 81,806.40, 112,964.40 and 51,645.60 is: 71,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,806.40 : 112,964.40 = 51,645.60 : x
  2. Step 2: Convert to fraction form
    81,806.40/112,964.40 = 51,645.60/x
  3. Step 3: Cross multiply
    81,806.40x = 112,964.40 × 51,645.60
  4. Step 4: Simplify right side
    81,806.40x = 5,834,114,216.64
  5. Step 5: Solve for x
    x = 5,834,114,216.64/81,806.40
  6. Step 6: Final answer
    x = 71,316.11

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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.