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Finding the Fourth Proportional to 78,645.60, 117,968.40 and 49,096.80

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Solution

The fourth proportional to 78,645.60, 117,968.40 and 49,096.80 is: 73,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,645.60 : 117,968.40 = 49,096.80 : x
  2. Step 2: Convert to fraction form
    78,645.60/117,968.40 = 49,096.80/x
  3. Step 3: Cross multiply
    78,645.60x = 117,968.40 × 49,096.80
  4. Step 4: Simplify right side
    78,645.60x = 5,791,870,941.12
  5. Step 5: Solve for x
    x = 5,791,870,941.12/78,645.60
  6. Step 6: Final answer
    x = 73,645.20

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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.