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Finding the Fourth Proportional to 114,180.64, 157,622.16 and 66,416.56

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Solution

The fourth proportional to 114,180.64, 157,622.16 and 66,416.56 is: 91,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,180.64 : 157,622.16 = 66,416.56 : x
  2. Step 2: Convert to fraction form
    114,180.64/157,622.16 = 66,416.56/x
  3. Step 3: Cross multiply
    114,180.64x = 157,622.16 × 66,416.56
  4. Step 4: Simplify right side
    114,180.64x = 10,468,721,646.97
  5. Step 5: Solve for x
    x = 10,468,721,646.97/114,180.64
  6. Step 6: Final answer
    x = 91,685.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.