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Finding the Fourth Proportional to 70,866.37, 106,264.96 and 30,919.12

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Solution

The fourth proportional to 70,866.37, 106,264.96 and 30,919.12 is: 46,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,866.37 : 106,264.96 = 30,919.12 : x
  2. Step 2: Convert to fraction form
    70,866.37/106,264.96 = 30,919.12/x
  3. Step 3: Cross multiply
    70,866.37x = 106,264.96 × 30,919.12
  4. Step 4: Simplify right side
    70,866.37x = 3,285,618,881.00
  5. Step 5: Solve for x
    x = 3,285,618,881.00/70,866.37
  6. Step 6: Final answer
    x = 46,363.58

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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.