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Finding the Fourth Proportional to 114,494.46, 157,819.77 and 90,255.90

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Solution

The fourth proportional to 114,494.46, 157,819.77 and 90,255.90 is: 124,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,494.46 : 157,819.77 = 90,255.90 : x
  2. Step 2: Convert to fraction form
    114,494.46/157,819.77 = 90,255.90/x
  3. Step 3: Cross multiply
    114,494.46x = 157,819.77 × 90,255.90
  4. Step 4: Simplify right side
    114,494.46x = 14,244,165,379.14
  5. Step 5: Solve for x
    x = 14,244,165,379.14/114,494.46
  6. Step 6: Final answer
    x = 124,409.21

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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.