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Finding the Fourth Proportional to 198,814.71, 274,259.73 and 118,184.88

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Solution

The fourth proportional to 198,814.71, 274,259.73 and 118,184.88 is: 163,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,814.71 : 274,259.73 = 118,184.88 : x
  2. Step 2: Convert to fraction form
    198,814.71/274,259.73 = 118,184.88/x
  3. Step 3: Cross multiply
    198,814.71x = 274,259.73 × 118,184.88
  4. Step 4: Simplify right side
    198,814.71x = 32,413,353,278.88
  5. Step 5: Solve for x
    x = 32,413,353,278.88/198,814.71
  6. Step 6: Final answer
    x = 163,032.97

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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.