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Finding the Fourth Proportional to 86,815.50, 119,806.11 and 47,071.50

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Solution

The fourth proportional to 86,815.50, 119,806.11 and 47,071.50 is: 64,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,815.50 : 119,806.11 = 47,071.50 : x
  2. Step 2: Convert to fraction form
    86,815.50/119,806.11 = 47,071.50/x
  3. Step 3: Cross multiply
    86,815.50x = 119,806.11 × 47,071.50
  4. Step 4: Simplify right side
    86,815.50x = 5,639,453,306.87
  5. Step 5: Solve for x
    x = 5,639,453,306.87/86,815.50
  6. Step 6: Final answer
    x = 64,959.06

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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.