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Finding the Fourth Proportional to 201,807.80, 278,506.76 and 115,766.21

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Solution

The fourth proportional to 201,807.80, 278,506.76 and 115,766.21 is: 159,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,807.80 : 278,506.76 = 115,766.21 : x
  2. Step 2: Convert to fraction form
    201,807.80/278,506.76 = 115,766.21/x
  3. Step 3: Cross multiply
    201,807.80x = 278,506.76 × 115,766.21
  4. Step 4: Simplify right side
    201,807.80x = 32,241,672,182.02
  5. Step 5: Solve for x
    x = 32,241,672,182.02/201,807.80
  6. Step 6: Final answer
    x = 159,764.25

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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.