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Finding the Fourth Proportional to 30,571, 42,258.60 and 25,505.68

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Solution

The fourth proportional to 30,571, 42,258.60 and 25,505.68 is: 35,256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571 : 42,258.60 = 25,505.68 : x
  2. Step 2: Convert to fraction form
    30,571/42,258.60 = 25,505.68/x
  3. Step 3: Cross multiply
    30,571x = 42,258.60 × 25,505.68
  4. Step 4: Simplify right side
    30,571x = 1,077,834,328.85
  5. Step 5: Solve for x
    x = 1,077,834,328.85/30,571
  6. Step 6: Final answer
    x = 35,256.76

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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.