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Finding the Fourth Proportional to 115,795, 159,797.10 and 65,492.92

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Solution

The fourth proportional to 115,795, 159,797.10 and 65,492.92 is: 90,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,795 : 159,797.10 = 65,492.92 : x
  2. Step 2: Convert to fraction form
    115,795/159,797.10 = 65,492.92/x
  3. Step 3: Cross multiply
    115,795x = 159,797.10 × 65,492.92
  4. Step 4: Simplify right side
    115,795x = 10,465,578,686.53
  5. Step 5: Solve for x
    x = 10,465,578,686.53/115,795
  6. Step 6: Final answer
    x = 90,380.23

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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.