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Finding the Fourth Proportional to 70,969.24, 97,823.32 and 51,818.65

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Solution

The fourth proportional to 70,969.24, 97,823.32 and 51,818.65 is: 71,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,969.24 : 97,823.32 = 51,818.65 : x
  2. Step 2: Convert to fraction form
    70,969.24/97,823.32 = 51,818.65/x
  3. Step 3: Cross multiply
    70,969.24x = 97,823.32 × 51,818.65
  4. Step 4: Simplify right side
    70,969.24x = 5,069,072,380.92
  5. Step 5: Solve for x
    x = 5,069,072,380.92/70,969.24
  6. Step 6: Final answer
    x = 71,426.33

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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.