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Finding the Fourth Proportional to 101,970.99, 140,738.00 and 76,258.53

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Solution

The fourth proportional to 101,970.99, 140,738.00 and 76,258.53 is: 105,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970.99 : 140,738.00 = 76,258.53 : x
  2. Step 2: Convert to fraction form
    101,970.99/140,738.00 = 76,258.53/x
  3. Step 3: Cross multiply
    101,970.99x = 140,738.00 × 76,258.53
  4. Step 4: Simplify right side
    101,970.99x = 10,732,472,613.85
  5. Step 5: Solve for x
    x = 10,732,472,613.85/101,970.99
  6. Step 6: Final answer
    x = 105,250.25

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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.