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Finding the Fourth Proportional to 218,462.80, 301,472.54 and 121,666.62

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Solution

The fourth proportional to 218,462.80, 301,472.54 and 121,666.62 is: 167,896.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,462.80 : 301,472.54 = 121,666.62 : x
  2. Step 2: Convert to fraction form
    218,462.80/301,472.54 = 121,666.62/x
  3. Step 3: Cross multiply
    218,462.80x = 301,472.54 × 121,666.62
  4. Step 4: Simplify right side
    218,462.80x = 36,679,143,682.01
  5. Step 5: Solve for x
    x = 36,679,143,682.01/218,462.80
  6. Step 6: Final answer
    x = 167,896.52

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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.