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Finding the Fourth Proportional to 78,806.12, 117,931.80 and 49,237.88

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Solution

The fourth proportional to 78,806.12, 117,931.80 and 49,237.88 is: 73,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,806.12 : 117,931.80 = 49,237.88 : x
  2. Step 2: Convert to fraction form
    78,806.12/117,931.80 = 49,237.88/x
  3. Step 3: Cross multiply
    78,806.12x = 117,931.80 × 49,237.88
  4. Step 4: Simplify right side
    78,806.12x = 5,806,711,816.58
  5. Step 5: Solve for x
    x = 5,806,711,816.58/78,806.12
  6. Step 6: Final answer
    x = 73,683.51

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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.