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Finding the Fourth Proportional to 201,761.70, 302,642.55 and 54,017.70

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Solution

The fourth proportional to 201,761.70, 302,642.55 and 54,017.70 is: 81,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,761.70 : 302,642.55 = 54,017.70 : x
  2. Step 2: Convert to fraction form
    201,761.70/302,642.55 = 54,017.70/x
  3. Step 3: Cross multiply
    201,761.70x = 302,642.55 × 54,017.70
  4. Step 4: Simplify right side
    201,761.70x = 16,348,054,473.14
  5. Step 5: Solve for x
    x = 16,348,054,473.14/201,761.70
  6. Step 6: Final answer
    x = 81,026.55

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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.