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Finding the Fourth Proportional to 105,049.75, 144,927.33 and 64,693.45

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Solution

The fourth proportional to 105,049.75, 144,927.33 and 64,693.45 is: 89,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,049.75 : 144,927.33 = 64,693.45 : x
  2. Step 2: Convert to fraction form
    105,049.75/144,927.33 = 64,693.45/x
  3. Step 3: Cross multiply
    105,049.75x = 144,927.33 × 64,693.45
  4. Step 4: Simplify right side
    105,049.75x = 9,375,848,976.99
  5. Step 5: Solve for x
    x = 9,375,848,976.99/105,049.75
  6. Step 6: Final answer
    x = 89,251.51

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1.5x scale

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.