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Finding the Fourth Proportional to 150,792.54, 207,978.40 and 102,431.76

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Solution

The fourth proportional to 150,792.54, 207,978.40 and 102,431.76 is: 141,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,792.54 : 207,978.40 = 102,431.76 : x
  2. Step 2: Convert to fraction form
    150,792.54/207,978.40 = 102,431.76/x
  3. Step 3: Cross multiply
    150,792.54x = 207,978.40 × 102,431.76
  4. Step 4: Simplify right side
    150,792.54x = 21,303,592,469.97
  5. Step 5: Solve for x
    x = 21,303,592,469.97/150,792.54
  6. Step 6: Final answer
    x = 141,277.50

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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.