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Finding the Fourth Proportional to 69,802.32, 104,663.75 and 47,642.54

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Solution

The fourth proportional to 69,802.32, 104,663.75 and 47,642.54 is: 71,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,802.32 : 104,663.75 = 47,642.54 : x
  2. Step 2: Convert to fraction form
    69,802.32/104,663.75 = 47,642.54/x
  3. Step 3: Cross multiply
    69,802.32x = 104,663.75 × 47,642.54
  4. Step 4: Simplify right side
    69,802.32x = 4,986,446,134.39
  5. Step 5: Solve for x
    x = 4,986,446,134.39/69,802.32
  6. Step 6: Final answer
    x = 71,436.68

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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.