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Finding the Fourth Proportional to 65,203.41, 89,974.49 and 51,807.09

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Solution

The fourth proportional to 65,203.41, 89,974.49 and 51,807.09 is: 71,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,203.41 : 89,974.49 = 51,807.09 : x
  2. Step 2: Convert to fraction form
    65,203.41/89,974.49 = 51,807.09/x
  3. Step 3: Cross multiply
    65,203.41x = 89,974.49 × 51,807.09
  4. Step 4: Simplify right side
    65,203.41x = 4,661,316,242.10
  5. Step 5: Solve for x
    x = 4,661,316,242.10/65,203.41
  6. Step 6: Final answer
    x = 71,488.84

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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.