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Finding the Fourth Proportional to 157,833, 217,816.04 and 90,765

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Solution

The fourth proportional to 157,833, 217,816.04 and 90,765 is: 125,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,833 : 217,816.04 = 90,765 : x
  2. Step 2: Convert to fraction form
    157,833/217,816.04 = 90,765/x
  3. Step 3: Cross multiply
    157,833x = 217,816.04 × 90,765
  4. Step 4: Simplify right side
    157,833x = 19,770,072,870.60
  5. Step 5: Solve for x
    x = 19,770,072,870.60/157,833
  6. Step 6: Final answer
    x = 125,259.44

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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.