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Finding the Fourth Proportional to 115,818.08, 159,832.32 and 65,516

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Solution

The fourth proportional to 115,818.08, 159,832.32 and 65,516 is: 90,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,818.08 : 159,832.32 = 65,516 : x
  2. Step 2: Convert to fraction form
    115,818.08/159,832.32 = 65,516/x
  3. Step 3: Cross multiply
    115,818.08x = 159,832.32 × 65,516
  4. Step 4: Simplify right side
    115,818.08x = 10,471,574,277.12
  5. Step 5: Solve for x
    x = 10,471,574,277.12/115,818.08
  6. Step 6: Final answer
    x = 90,413.99

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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.