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Finding the Fourth Proportional to 157,172.76, 235,794.78 and 51,991.56

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Solution

The fourth proportional to 157,172.76, 235,794.78 and 51,991.56 is: 77,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,172.76 : 235,794.78 = 51,991.56 : x
  2. Step 2: Convert to fraction form
    157,172.76/235,794.78 = 51,991.56/x
  3. Step 3: Cross multiply
    157,172.76x = 235,794.78 × 51,991.56
  4. Step 4: Simplify right side
    157,172.76x = 12,259,338,452.06
  5. Step 5: Solve for x
    x = 12,259,338,452.06/157,172.76
  6. Step 6: Final answer
    x = 77,999.13

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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.