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Finding the Fourth Proportional to 82,809.54, 114,279.22 and 45,085.86

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Solution

The fourth proportional to 82,809.54, 114,279.22 and 45,085.86 is: 62,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,809.54 : 114,279.22 = 45,085.86 : x
  2. Step 2: Convert to fraction form
    82,809.54/114,279.22 = 45,085.86/x
  3. Step 3: Cross multiply
    82,809.54x = 114,279.22 × 45,085.86
  4. Step 4: Simplify right side
    82,809.54x = 5,152,376,913.83
  5. Step 5: Solve for x
    x = 5,152,376,913.83/82,809.54
  6. Step 6: Final answer
    x = 62,219.61

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1.5x scale

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.