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Finding the Fourth Proportional to 218,411.31, 301,357.75 and 122,883.15

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Solution

The fourth proportional to 218,411.31, 301,357.75 and 122,883.15 is: 169,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,411.31 : 301,357.75 = 122,883.15 : x
  2. Step 2: Convert to fraction form
    218,411.31/301,357.75 = 122,883.15/x
  3. Step 3: Cross multiply
    218,411.31x = 301,357.75 × 122,883.15
  4. Step 4: Simplify right side
    218,411.31x = 37,031,789,596.91
  5. Step 5: Solve for x
    x = 37,031,789,596.91/218,411.31
  6. Step 6: Final answer
    x = 169,550.70

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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.