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Finding the Fourth Proportional to 70,821.30, 97,711.32 and 40,189.32

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Solution

The fourth proportional to 70,821.30, 97,711.32 and 40,189.32 is: 55,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,821.30 : 97,711.32 = 40,189.32 : x
  2. Step 2: Convert to fraction form
    70,821.30/97,711.32 = 40,189.32/x
  3. Step 3: Cross multiply
    70,821.30x = 97,711.32 × 40,189.32
  4. Step 4: Simplify right side
    70,821.30x = 3,926,951,507.10
  5. Step 5: Solve for x
    x = 3,926,951,507.10/70,821.30
  6. Step 6: Final answer
    x = 55,448.74

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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.