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Finding the Fourth Proportional to 155,286.80, 233,105.40 and 102,798.80

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Solution

The fourth proportional to 155,286.80, 233,105.40 and 102,798.80 is: 154,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,286.80 : 233,105.40 = 102,798.80 : x
  2. Step 2: Convert to fraction form
    155,286.80/233,105.40 = 102,798.80/x
  3. Step 3: Cross multiply
    155,286.80x = 233,105.40 × 102,798.80
  4. Step 4: Simplify right side
    155,286.80x = 23,962,955,393.52
  5. Step 5: Solve for x
    x = 23,962,955,393.52/155,286.80
  6. Step 6: Final answer
    x = 154,314.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.