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Finding the Fourth Proportional to 157,121.84, 235,719.66 and 51,940.82

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Solution

The fourth proportional to 157,121.84, 235,719.66 and 51,940.82 is: 77,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,121.84 : 235,719.66 = 51,940.82 : x
  2. Step 2: Convert to fraction form
    157,121.84/235,719.66 = 51,940.82/x
  3. Step 3: Cross multiply
    157,121.84x = 235,719.66 × 51,940.82
  4. Step 4: Simplify right side
    157,121.84x = 12,243,472,430.52
  5. Step 5: Solve for x
    x = 12,243,472,430.52/157,121.84
  6. Step 6: Final answer
    x = 77,923.43

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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.