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Finding the Fourth Proportional to 115,382.07, 159,224.94 and 65,081.07

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Solution

The fourth proportional to 115,382.07, 159,224.94 and 65,081.07 is: 89,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,382.07 : 159,224.94 = 65,081.07 : x
  2. Step 2: Convert to fraction form
    115,382.07/159,224.94 = 65,081.07/x
  3. Step 3: Cross multiply
    115,382.07x = 159,224.94 × 65,081.07
  4. Step 4: Simplify right side
    115,382.07x = 10,362,529,465.89
  5. Step 5: Solve for x
    x = 10,362,529,465.89/115,382.07
  6. Step 6: Final answer
    x = 89,810.57

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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.