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Finding the Fourth Proportional to 201,813.50, 278,502.70 and 116,979.78

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Solution

The fourth proportional to 201,813.50, 278,502.70 and 116,979.78 is: 161,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,813.50 : 278,502.70 = 116,979.78 : x
  2. Step 2: Convert to fraction form
    201,813.50/278,502.70 = 116,979.78/x
  3. Step 3: Cross multiply
    201,813.50x = 278,502.70 × 116,979.78
  4. Step 4: Simplify right side
    201,813.50x = 32,579,184,575.41
  5. Step 5: Solve for x
    x = 32,579,184,575.41/201,813.50
  6. Step 6: Final answer
    x = 161,432.14

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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.