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Finding the Fourth Proportional to 84,689.32, 127,007.32 and 30,647.02

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Solution

The fourth proportional to 84,689.32, 127,007.32 and 30,647.02 is: 45,960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,689.32 : 127,007.32 = 30,647.02 : x
  2. Step 2: Convert to fraction form
    84,689.32/127,007.32 = 30,647.02/x
  3. Step 3: Cross multiply
    84,689.32x = 127,007.32 × 30,647.02
  4. Step 4: Simplify right side
    84,689.32x = 3,892,395,876.19
  5. Step 5: Solve for x
    x = 3,892,395,876.19/84,689.32
  6. Step 6: Final answer
    x = 45,960.88

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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.