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Finding the Fourth Proportional to 62,970.24, 86,908.38 and 47,838

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Solution

The fourth proportional to 62,970.24, 86,908.38 and 47,838 is: 66,023.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,970.24 : 86,908.38 = 47,838 : x
  2. Step 2: Convert to fraction form
    62,970.24/86,908.38 = 47,838/x
  3. Step 3: Cross multiply
    62,970.24x = 86,908.38 × 47,838
  4. Step 4: Simplify right side
    62,970.24x = 4,157,523,082.44
  5. Step 5: Solve for x
    x = 4,157,523,082.44/62,970.24
  6. Step 6: Final answer
    x = 66,023.62

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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.