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Finding the Fourth Proportional to 309,870.68, 464,752.54 and 82,167.90

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Solution

The fourth proportional to 309,870.68, 464,752.54 and 82,167.90 is: 123,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,870.68 : 464,752.54 = 82,167.90 : x
  2. Step 2: Convert to fraction form
    309,870.68/464,752.54 = 82,167.90/x
  3. Step 3: Cross multiply
    309,870.68x = 464,752.54 × 82,167.90
  4. Step 4: Simplify right side
    309,870.68x = 38,187,740,231.47
  5. Step 5: Solve for x
    x = 38,187,740,231.47/309,870.68
  6. Step 6: Final answer
    x = 123,237.67

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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.