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Finding the Fourth Proportional to 71,588.16, 107,399.16 and 70,398

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Solution

The fourth proportional to 71,588.16, 107,399.16 and 70,398 is: 105,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,588.16 : 107,399.16 = 70,398 : x
  2. Step 2: Convert to fraction form
    71,588.16/107,399.16 = 70,398/x
  3. Step 3: Cross multiply
    71,588.16x = 107,399.16 × 70,398
  4. Step 4: Simplify right side
    71,588.16x = 7,560,686,065.68
  5. Step 5: Solve for x
    x = 7,560,686,065.68/71,588.16
  6. Step 6: Final answer
    x = 105,613.64

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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.