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Finding the Fourth Proportional to 69,612, 96,064.56 and 39,809.76

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Solution

The fourth proportional to 69,612, 96,064.56 and 39,809.76 is: 54,937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,612 : 96,064.56 = 39,809.76 : x
  2. Step 2: Convert to fraction form
    69,612/96,064.56 = 39,809.76/x
  3. Step 3: Cross multiply
    69,612x = 96,064.56 × 39,809.76
  4. Step 4: Simplify right side
    69,612x = 3,824,307,078.11
  5. Step 5: Solve for x
    x = 3,824,307,078.11/69,612
  6. Step 6: Final answer
    x = 54,937.47

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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.