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Finding the Fourth Proportional to 75,708, 113,485.05 and 31,358.88

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Solution

The fourth proportional to 75,708, 113,485.05 and 31,358.88 is: 47,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,708 : 113,485.05 = 31,358.88 : x
  2. Step 2: Convert to fraction form
    75,708/113,485.05 = 31,358.88/x
  3. Step 3: Cross multiply
    75,708x = 113,485.05 × 31,358.88
  4. Step 4: Simplify right side
    75,708x = 3,558,764,064.74
  5. Step 5: Solve for x
    x = 3,558,764,064.74/75,708
  6. Step 6: Final answer
    x = 47,006.45

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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.