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Finding the Fourth Proportional to 64,816.11, 89,440.02 and 47,829.78

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Solution

The fourth proportional to 64,816.11, 89,440.02 and 47,829.78 is: 66,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,816.11 : 89,440.02 = 47,829.78 : x
  2. Step 2: Convert to fraction form
    64,816.11/89,440.02 = 47,829.78/x
  3. Step 3: Cross multiply
    64,816.11x = 89,440.02 × 47,829.78
  4. Step 4: Simplify right side
    64,816.11x = 4,277,896,479.80
  5. Step 5: Solve for x
    x = 4,277,896,479.80/64,816.11
  6. Step 6: Final answer
    x = 66,000.51

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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.