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Finding the Fourth Proportional to 64,969.13, 97,453.70 and 15,721.13

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Solution

The fourth proportional to 64,969.13, 97,453.70 and 15,721.13 is: 23,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,969.13 : 97,453.70 = 15,721.13 : x
  2. Step 2: Convert to fraction form
    64,969.13/97,453.70 = 15,721.13/x
  3. Step 3: Cross multiply
    64,969.13x = 97,453.70 × 15,721.13
  4. Step 4: Simplify right side
    64,969.13x = 1,532,082,286.68
  5. Step 5: Solve for x
    x = 1,532,082,286.68/64,969.13
  6. Step 6: Final answer
    x = 23,581.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.