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Finding the Fourth Proportional to 70,100, 105,146.16 and 28,581.92

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Solution

The fourth proportional to 70,100, 105,146.16 and 28,581.92 is: 42,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,100 : 105,146.16 = 28,581.92 : x
  2. Step 2: Convert to fraction form
    70,100/105,146.16 = 28,581.92/x
  3. Step 3: Cross multiply
    70,100x = 105,146.16 × 28,581.92
  4. Step 4: Simplify right side
    70,100x = 3,005,279,133.43
  5. Step 5: Solve for x
    x = 3,005,279,133.43/70,100
  6. Step 6: Final answer
    x = 42,871.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.