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Finding the Fourth Proportional to 157,199.21, 216,964.80 and 89,222.54

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Solution

The fourth proportional to 157,199.21, 216,964.80 and 89,222.54 is: 123,144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,199.21 : 216,964.80 = 89,222.54 : x
  2. Step 2: Convert to fraction form
    157,199.21/216,964.80 = 89,222.54/x
  3. Step 3: Cross multiply
    157,199.21x = 216,964.80 × 89,222.54
  4. Step 4: Simplify right side
    157,199.21x = 19,358,150,100.48
  5. Step 5: Solve for x
    x = 19,358,150,100.48/157,199.21
  6. Step 6: Final answer
    x = 123,144.07

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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.