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Finding the Fourth Proportional to 78,806.16, 108,718.20 and 51,914.16

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Solution

The fourth proportional to 78,806.16, 108,718.20 and 51,914.16 is: 71,618.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,806.16 : 108,718.20 = 51,914.16 : x
  2. Step 2: Convert to fraction form
    78,806.16/108,718.20 = 51,914.16/x
  3. Step 3: Cross multiply
    78,806.16x = 108,718.20 × 51,914.16
  4. Step 4: Simplify right side
    78,806.16x = 5,644,014,029.71
  5. Step 5: Solve for x
    x = 5,644,014,029.71/78,806.16
  6. Step 6: Final answer
    x = 71,618.94

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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.