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Finding the Fourth Proportional to 157,131, 216,840.78 and 90,063

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Solution

The fourth proportional to 157,131, 216,840.78 and 90,063 is: 124,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,131 : 216,840.78 = 90,063 : x
  2. Step 2: Convert to fraction form
    157,131/216,840.78 = 90,063/x
  3. Step 3: Cross multiply
    157,131x = 216,840.78 × 90,063
  4. Step 4: Simplify right side
    157,131x = 19,529,331,169.14
  5. Step 5: Solve for x
    x = 19,529,331,169.14/157,131
  6. Step 6: Final answer
    x = 124,286.94

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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.