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Finding the Fourth Proportional to 157,390.71, 217,192.86 and 85,769.21

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Solution

The fourth proportional to 157,390.71, 217,192.86 and 85,769.21 is: 118,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,390.71 : 217,192.86 = 85,769.21 : x
  2. Step 2: Convert to fraction form
    157,390.71/217,192.86 = 85,769.21/x
  3. Step 3: Cross multiply
    157,390.71x = 217,192.86 × 85,769.21
  4. Step 4: Simplify right side
    157,390.71x = 18,628,458,933.88
  5. Step 5: Solve for x
    x = 18,628,458,933.88/157,390.71
  6. Step 6: Final answer
    x = 118,358.06

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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.