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Finding the Fourth Proportional to 70,284.69, 96,991.98 and 40,069.02

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Solution

The fourth proportional to 70,284.69, 96,991.98 and 40,069.02 is: 55,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,284.69 : 96,991.98 = 40,069.02 : x
  2. Step 2: Convert to fraction form
    70,284.69/96,991.98 = 40,069.02/x
  3. Step 3: Cross multiply
    70,284.69x = 96,991.98 × 40,069.02
  4. Step 4: Simplify right side
    70,284.69x = 3,886,373,586.46
  5. Step 5: Solve for x
    x = 3,886,373,586.46/70,284.69
  6. Step 6: Final answer
    x = 55,294.74

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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.