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Finding the Fourth Proportional to 65,121, 89,867.02 and 35,313

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Solution

The fourth proportional to 65,121, 89,867.02 and 35,313 is: 48,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,121 : 89,867.02 = 35,313 : x
  2. Step 2: Convert to fraction form
    65,121/89,867.02 = 35,313/x
  3. Step 3: Cross multiply
    65,121x = 89,867.02 × 35,313
  4. Step 4: Simplify right side
    65,121x = 3,173,474,077.26
  5. Step 5: Solve for x
    x = 3,173,474,077.26/65,121
  6. Step 6: Final answer
    x = 48,731.96

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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.