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Finding the Fourth Proportional to 65,172, 89,937.44 and 36,877.12

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Solution

The fourth proportional to 65,172, 89,937.44 and 36,877.12 is: 50,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,172 : 89,937.44 = 36,877.12 : x
  2. Step 2: Convert to fraction form
    65,172/89,937.44 = 36,877.12/x
  3. Step 3: Cross multiply
    65,172x = 89,937.44 × 36,877.12
  4. Step 4: Simplify right side
    65,172x = 3,316,633,767.37
  5. Step 5: Solve for x
    x = 3,316,633,767.37/65,172
  6. Step 6: Final answer
    x = 50,890.47

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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.