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Finding the Fourth Proportional to 144,977.64, 200,070.72 and 80,448

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Solution

The fourth proportional to 144,977.64, 200,070.72 and 80,448 is: 111,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,977.64 : 200,070.72 = 80,448 : x
  2. Step 2: Convert to fraction form
    144,977.64/200,070.72 = 80,448/x
  3. Step 3: Cross multiply
    144,977.64x = 200,070.72 × 80,448
  4. Step 4: Simplify right side
    144,977.64x = 16,095,289,282.56
  5. Step 5: Solve for x
    x = 16,095,289,282.56/144,977.64
  6. Step 6: Final answer
    x = 111,019.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.