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Finding the Fourth Proportional to 157,809.75, 217,783.94 and 90,741.75

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Solution

The fourth proportional to 157,809.75, 217,783.94 and 90,741.75 is: 125,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,809.75 : 217,783.94 = 90,741.75 : x
  2. Step 2: Convert to fraction form
    157,809.75/217,783.94 = 90,741.75/x
  3. Step 3: Cross multiply
    157,809.75x = 217,783.94 × 90,741.75
  4. Step 4: Simplify right side
    157,809.75x = 19,762,095,383.79
  5. Step 5: Solve for x
    x = 19,762,095,383.79/157,809.75
  6. Step 6: Final answer
    x = 125,227.34

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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.