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Finding the Fourth Proportional to 86,378.88, 129,490.56 and 30,936

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Solution

The fourth proportional to 86,378.88, 129,490.56 and 30,936 is: 46,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,378.88 : 129,490.56 = 30,936 : x
  2. Step 2: Convert to fraction form
    86,378.88/129,490.56 = 30,936/x
  3. Step 3: Cross multiply
    86,378.88x = 129,490.56 × 30,936
  4. Step 4: Simplify right side
    86,378.88x = 4,005,919,964.16
  5. Step 5: Solve for x
    x = 4,005,919,964.16/86,378.88
  6. Step 6: Final answer
    x = 46,376.15

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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.