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Finding the Fourth Proportional to 166,909.20, 230,257.40 and 147,808.40

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Solution

The fourth proportional to 166,909.20, 230,257.40 and 147,808.40 is: 203,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,909.20 : 230,257.40 = 147,808.40 : x
  2. Step 2: Convert to fraction form
    166,909.20/230,257.40 = 147,808.40/x
  3. Step 3: Cross multiply
    166,909.20x = 230,257.40 × 147,808.40
  4. Step 4: Simplify right side
    166,909.20x = 34,033,977,882.16
  5. Step 5: Solve for x
    x = 34,033,977,882.16/166,909.20
  6. Step 6: Final answer
    x = 203,907.14

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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.