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Finding the Fourth Proportional to 218,970.65, 302,189.87 and 123,475.30

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Solution

The fourth proportional to 218,970.65, 302,189.87 and 123,475.30 is: 170,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,970.65 : 302,189.87 = 123,475.30 : x
  2. Step 2: Convert to fraction form
    218,970.65/302,189.87 = 123,475.30/x
  3. Step 3: Cross multiply
    218,970.65x = 302,189.87 × 123,475.30
  4. Step 4: Simplify right side
    218,970.65x = 37,312,984,408.42
  5. Step 5: Solve for x
    x = 37,312,984,408.42/218,970.65
  6. Step 6: Final answer
    x = 170,401.76

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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.