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Finding the Fourth Proportional to 100,577.55, 150,977.12 and 84,976.04

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Solution

The fourth proportional to 100,577.55, 150,977.12 and 84,976.04 is: 127,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,577.55 : 150,977.12 = 84,976.04 : x
  2. Step 2: Convert to fraction form
    100,577.55/150,977.12 = 84,976.04/x
  3. Step 3: Cross multiply
    100,577.55x = 150,977.12 × 84,976.04
  4. Step 4: Simplify right side
    100,577.55x = 12,829,436,891.52
  5. Step 5: Solve for x
    x = 12,829,436,891.52/100,577.55
  6. Step 6: Final answer
    x = 127,557.66

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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.