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Finding the Fourth Proportional to 86,979, 120,031.02 and 47,235

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Solution

The fourth proportional to 86,979, 120,031.02 and 47,235 is: 65,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,979 : 120,031.02 = 47,235 : x
  2. Step 2: Convert to fraction form
    86,979/120,031.02 = 47,235/x
  3. Step 3: Cross multiply
    86,979x = 120,031.02 × 47,235
  4. Step 4: Simplify right side
    86,979x = 5,669,665,229.70
  5. Step 5: Solve for x
    x = 5,669,665,229.70/86,979
  6. Step 6: Final answer
    x = 65,184.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.