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Finding the Fourth Proportional to 164,715.20, 247,072.80 and 148,968.80

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Solution

The fourth proportional to 164,715.20, 247,072.80 and 148,968.80 is: 223,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,715.20 : 247,072.80 = 148,968.80 : x
  2. Step 2: Convert to fraction form
    164,715.20/247,072.80 = 148,968.80/x
  3. Step 3: Cross multiply
    164,715.20x = 247,072.80 × 148,968.80
  4. Step 4: Simplify right side
    164,715.20x = 36,806,138,528.64
  5. Step 5: Solve for x
    x = 36,806,138,528.64/164,715.20
  6. Step 6: Final answer
    x = 223,453.20

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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.