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Finding the Fourth Proportional to 85,476.96, 128,202.48 and 30,060

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Solution

The fourth proportional to 85,476.96, 128,202.48 and 30,060 is: 45,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,476.96 : 128,202.48 = 30,060 : x
  2. Step 2: Convert to fraction form
    85,476.96/128,202.48 = 30,060/x
  3. Step 3: Cross multiply
    85,476.96x = 128,202.48 × 30,060
  4. Step 4: Simplify right side
    85,476.96x = 3,853,766,548.80
  5. Step 5: Solve for x
    x = 3,853,766,548.80/85,476.96
  6. Step 6: Final answer
    x = 45,085.44

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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.