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Finding the Fourth Proportional to 86,062.88, 129,094.32 and 30,620

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Solution

The fourth proportional to 86,062.88, 129,094.32 and 30,620 is: 45,930

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,062.88 : 129,094.32 = 30,620 : x
  2. Step 2: Convert to fraction form
    86,062.88/129,094.32 = 30,620/x
  3. Step 3: Cross multiply
    86,062.88x = 129,094.32 × 30,620
  4. Step 4: Simplify right side
    86,062.88x = 3,952,868,078.40
  5. Step 5: Solve for x
    x = 3,952,868,078.40/86,062.88
  6. Step 6: Final answer
    x = 45,930

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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.