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Finding the Fourth Proportional to 70,424.32, 105,634.32 and 28,840

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Solution

The fourth proportional to 70,424.32, 105,634.32 and 28,840 is: 43,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,424.32 : 105,634.32 = 28,840 : x
  2. Step 2: Convert to fraction form
    70,424.32/105,634.32 = 28,840/x
  3. Step 3: Cross multiply
    70,424.32x = 105,634.32 × 28,840
  4. Step 4: Simplify right side
    70,424.32x = 3,046,493,788.80
  5. Step 5: Solve for x
    x = 3,046,493,788.80/70,424.32
  6. Step 6: Final answer
    x = 43,259.12

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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.