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Finding the Fourth Proportional to 47,868.13, 71,802.19 and 12,806.87

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Solution

The fourth proportional to 47,868.13, 71,802.19 and 12,806.87 is: 19,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,868.13 : 71,802.19 = 12,806.87 : x
  2. Step 2: Convert to fraction form
    47,868.13/71,802.19 = 12,806.87/x
  3. Step 3: Cross multiply
    47,868.13x = 71,802.19 × 12,806.87
  4. Step 4: Simplify right side
    47,868.13x = 919,561,313.05
  5. Step 5: Solve for x
    x = 919,561,313.05/47,868.13
  6. Step 6: Final answer
    x = 19,210.31

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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.