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Finding the Fourth Proportional to 201,218.10, 301,827.15 and 121,501.95

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Solution

The fourth proportional to 201,218.10, 301,827.15 and 121,501.95 is: 182,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,218.10 : 301,827.15 = 121,501.95 : x
  2. Step 2: Convert to fraction form
    201,218.10/301,827.15 = 121,501.95/x
  3. Step 3: Cross multiply
    201,218.10x = 301,827.15 × 121,501.95
  4. Step 4: Simplify right side
    201,218.10x = 36,672,587,287.94
  5. Step 5: Solve for x
    x = 36,672,587,287.94/201,218.10
  6. Step 6: Final answer
    x = 182,252.93

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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.