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Finding the Fourth Proportional to 165,984.80, 248,977.20 and 145,248.80

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Solution

The fourth proportional to 165,984.80, 248,977.20 and 145,248.80 is: 217,873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,984.80 : 248,977.20 = 145,248.80 : x
  2. Step 2: Convert to fraction form
    165,984.80/248,977.20 = 145,248.80/x
  3. Step 3: Cross multiply
    165,984.80x = 248,977.20 × 145,248.80
  4. Step 4: Simplify right side
    165,984.80x = 36,163,639,527.36
  5. Step 5: Solve for x
    x = 36,163,639,527.36/165,984.80
  6. Step 6: Final answer
    x = 217,873.20

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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.