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Finding the Fourth Proportional to 157,930.31, 236,828.03 and 91,416.35

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Solution

The fourth proportional to 157,930.31, 236,828.03 and 91,416.35 is: 137,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,930.31 : 236,828.03 = 91,416.35 : x
  2. Step 2: Convert to fraction form
    157,930.31/236,828.03 = 91,416.35/x
  3. Step 3: Cross multiply
    157,930.31x = 236,828.03 × 91,416.35
  4. Step 4: Simplify right side
    157,930.31x = 21,649,954,215.28
  5. Step 5: Solve for x
    x = 21,649,954,215.28/157,930.31
  6. Step 6: Final answer
    x = 137,085.49

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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.