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Finding the Fourth Proportional to 114,415.94, 157,879.38 and 63,428.19

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Solution

The fourth proportional to 114,415.94, 157,879.38 and 63,428.19 is: 87,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,415.94 : 157,879.38 = 63,428.19 : x
  2. Step 2: Convert to fraction form
    114,415.94/157,879.38 = 63,428.19/x
  3. Step 3: Cross multiply
    114,415.94x = 157,879.38 × 63,428.19
  4. Step 4: Simplify right side
    114,415.94x = 10,014,003,311.72
  5. Step 5: Solve for x
    x = 10,014,003,311.72/114,415.94
  6. Step 6: Final answer
    x = 87,522.80

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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.