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Finding the Fourth Proportional to 64,747.49, 89,345.09 and 47,760.91

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Solution

The fourth proportional to 64,747.49, 89,345.09 and 47,760.91 is: 65,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,747.49 : 89,345.09 = 47,760.91 : x
  2. Step 2: Convert to fraction form
    64,747.49/89,345.09 = 47,760.91/x
  3. Step 3: Cross multiply
    64,747.49x = 89,345.09 × 47,760.91
  4. Step 4: Simplify right side
    64,747.49x = 4,267,202,698.47
  5. Step 5: Solve for x
    x = 4,267,202,698.47/64,747.49
  6. Step 6: Final answer
    x = 65,905.30

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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.