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Finding the Fourth Proportional to 106,565.63, 159,643.29 and 66,600.23

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Solution

The fourth proportional to 106,565.63, 159,643.29 and 66,600.23 is: 99,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,565.63 : 159,643.29 = 66,600.23 : x
  2. Step 2: Convert to fraction form
    106,565.63/159,643.29 = 66,600.23/x
  3. Step 3: Cross multiply
    106,565.63x = 159,643.29 × 66,600.23
  4. Step 4: Simplify right side
    106,565.63x = 10,632,279,831.96
  5. Step 5: Solve for x
    x = 10,632,279,831.96/106,565.63
  6. Step 6: Final answer
    x = 99,772.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.