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Finding the Fourth Proportional to 115,696.10, 159,657.54 and 65,395.10

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Solution

The fourth proportional to 115,696.10, 159,657.54 and 65,395.10 is: 90,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,696.10 : 159,657.54 = 65,395.10 : x
  2. Step 2: Convert to fraction form
    115,696.10/159,657.54 = 65,395.10/x
  3. Step 3: Cross multiply
    115,696.10x = 159,657.54 × 65,395.10
  4. Step 4: Simplify right side
    115,696.10x = 10,440,820,794.05
  5. Step 5: Solve for x
    x = 10,440,820,794.05/115,696.10
  6. Step 6: Final answer
    x = 90,243.50

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1.5x scale

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.