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Finding the Fourth Proportional to 114,243.26, 157,674.42 and 78,403.82

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Solution

The fourth proportional to 114,243.26, 157,674.42 and 78,403.82 is: 108,210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,243.26 : 157,674.42 = 78,403.82 : x
  2. Step 2: Convert to fraction form
    114,243.26/157,674.42 = 78,403.82/x
  3. Step 3: Cross multiply
    114,243.26x = 157,674.42 × 78,403.82
  4. Step 4: Simplify right side
    114,243.26x = 12,362,276,844.28
  5. Step 5: Solve for x
    x = 12,362,276,844.28/114,243.26
  6. Step 6: Final answer
    x = 108,210.12

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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.