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Finding the Fourth Proportional to 115,991.93, 160,082.19 and 65,018.45

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Solution

The fourth proportional to 115,991.93, 160,082.19 and 65,018.45 is: 89,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,991.93 : 160,082.19 = 65,018.45 : x
  2. Step 2: Convert to fraction form
    115,991.93/160,082.19 = 65,018.45/x
  3. Step 3: Cross multiply
    115,991.93x = 160,082.19 × 65,018.45
  4. Step 4: Simplify right side
    115,991.93x = 10,408,295,065.99
  5. Step 5: Solve for x
    x = 10,408,295,065.99/115,991.93
  6. Step 6: Final answer
    x = 89,732.93

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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.