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Finding the Fourth Proportional to 86,294.03, 129,388.19 and 33,642

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Solution

The fourth proportional to 86,294.03, 129,388.19 and 33,642 is: 50,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,294.03 : 129,388.19 = 33,642 : x
  2. Step 2: Convert to fraction form
    86,294.03/129,388.19 = 33,642/x
  3. Step 3: Cross multiply
    86,294.03x = 129,388.19 × 33,642
  4. Step 4: Simplify right side
    86,294.03x = 4,352,877,319.77
  5. Step 5: Solve for x
    x = 4,352,877,319.77/86,294.03
  6. Step 6: Final answer
    x = 50,442.40

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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.