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Finding the Fourth Proportional to 70,814.28, 97,708.02 and 40,989

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Solution

The fourth proportional to 70,814.28, 97,708.02 and 40,989 is: 56,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,814.28 : 97,708.02 = 40,989 : x
  2. Step 2: Convert to fraction form
    70,814.28/97,708.02 = 40,989/x
  3. Step 3: Cross multiply
    70,814.28x = 97,708.02 × 40,989
  4. Step 4: Simplify right side
    70,814.28x = 4,004,954,031.78
  5. Step 5: Solve for x
    x = 4,004,954,031.78/70,814.28
  6. Step 6: Final answer
    x = 56,555.74

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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.