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Finding the Fourth Proportional to 70,658.28, 97,503.84 and 40,443.84

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Solution

The fourth proportional to 70,658.28, 97,503.84 and 40,443.84 is: 55,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,658.28 : 97,503.84 = 40,443.84 : x
  2. Step 2: Convert to fraction form
    70,658.28/97,503.84 = 40,443.84/x
  3. Step 3: Cross multiply
    70,658.28x = 97,503.84 × 40,443.84
  4. Step 4: Simplify right side
    70,658.28x = 3,943,429,704.35
  5. Step 5: Solve for x
    x = 3,943,429,704.35/70,658.28
  6. Step 6: Final answer
    x = 55,809.87

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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.