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Finding the Fourth Proportional to 98,729.60, 147,964.80 and 39,516.80

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Solution

The fourth proportional to 98,729.60, 147,964.80 and 39,516.80 is: 59,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,729.60 : 147,964.80 = 39,516.80 : x
  2. Step 2: Convert to fraction form
    98,729.60/147,964.80 = 39,516.80/x
  3. Step 3: Cross multiply
    98,729.60x = 147,964.80 × 39,516.80
  4. Step 4: Simplify right side
    98,729.60x = 5,847,095,408.64
  5. Step 5: Solve for x
    x = 5,847,095,408.64/98,729.60
  6. Step 6: Final answer
    x = 59,223.33

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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.