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Finding the Fourth Proportional to 75,461.68, 113,215.16 and 30,459.88

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Solution

The fourth proportional to 75,461.68, 113,215.16 and 30,459.88 is: 45,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,461.68 : 113,215.16 = 30,459.88 : x
  2. Step 2: Convert to fraction form
    75,461.68/113,215.16 = 30,459.88/x
  3. Step 3: Cross multiply
    75,461.68x = 113,215.16 × 30,459.88
  4. Step 4: Simplify right side
    75,461.68x = 3,448,520,187.78
  5. Step 5: Solve for x
    x = 3,448,520,187.78/75,461.68
  6. Step 6: Final answer
    x = 45,698.96

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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.