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Finding the Fourth Proportional to 144,075.68, 198,807.72 and 80,411.32

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Solution

The fourth proportional to 144,075.68, 198,807.72 and 80,411.32 is: 110,958.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,075.68 : 198,807.72 = 80,411.32 : x
  2. Step 2: Convert to fraction form
    144,075.68/198,807.72 = 80,411.32/x
  3. Step 3: Cross multiply
    144,075.68x = 198,807.72 × 80,411.32
  4. Step 4: Simplify right side
    144,075.68x = 15,986,391,191.39
  5. Step 5: Solve for x
    x = 15,986,391,191.39/144,075.68
  6. Step 6: Final answer
    x = 110,958.29

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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.