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Finding the Fourth Proportional to 175,698.12, 242,400.42 and 100,202.88

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Solution

The fourth proportional to 175,698.12, 242,400.42 and 100,202.88 is: 138,244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,698.12 : 242,400.42 = 100,202.88 : x
  2. Step 2: Convert to fraction form
    175,698.12/242,400.42 = 100,202.88/x
  3. Step 3: Cross multiply
    175,698.12x = 242,400.42 × 100,202.88
  4. Step 4: Simplify right side
    175,698.12x = 24,289,220,197.21
  5. Step 5: Solve for x
    x = 24,289,220,197.21/175,698.12
  6. Step 6: Final answer
    x = 138,244.05

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