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Finding the Fourth Proportional to 70,382.02, 105,579.90 and 20,462.50

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Solution

The fourth proportional to 70,382.02, 105,579.90 and 20,462.50 is: 30,695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,382.02 : 105,579.90 = 20,462.50 : x
  2. Step 2: Convert to fraction form
    70,382.02/105,579.90 = 20,462.50/x
  3. Step 3: Cross multiply
    70,382.02x = 105,579.90 × 20,462.50
  4. Step 4: Simplify right side
    70,382.02x = 2,160,428,703.75
  5. Step 5: Solve for x
    x = 2,160,428,703.75/70,382.02
  6. Step 6: Final answer
    x = 30,695.75

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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.