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Finding the Fourth Proportional to 65,205.41, 89,977.24 and 51,809.09

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Solution

The fourth proportional to 65,205.41, 89,977.24 and 51,809.09 is: 71,491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.41 : 89,977.24 = 51,809.09 : x
  2. Step 2: Convert to fraction form
    65,205.41/89,977.24 = 51,809.09/x
  3. Step 3: Cross multiply
    65,205.41x = 89,977.24 × 51,809.09
  4. Step 4: Simplify right side
    65,205.41x = 4,661,638,925.11
  5. Step 5: Solve for x
    x = 4,661,638,925.11/65,205.41
  6. Step 6: Final answer
    x = 71,491.60

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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.