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Finding the Fourth Proportional to 157,261.32, 217,016.64 and 90,189

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Solution

The fourth proportional to 157,261.32, 217,016.64 and 90,189 is: 124,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,261.32 : 217,016.64 = 90,189 : x
  2. Step 2: Convert to fraction form
    157,261.32/217,016.64 = 90,189/x
  3. Step 3: Cross multiply
    157,261.32x = 217,016.64 × 90,189
  4. Step 4: Simplify right side
    157,261.32x = 19,572,513,744.96
  5. Step 5: Solve for x
    x = 19,572,513,744.96/157,261.32
  6. Step 6: Final answer
    x = 124,458.54

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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.