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Finding the Fourth Proportional to 75,842.72, 113,764.14 and 31,457.56

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Solution

The fourth proportional to 75,842.72, 113,764.14 and 31,457.56 is: 47,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,842.72 : 113,764.14 = 31,457.56 : x
  2. Step 2: Convert to fraction form
    75,842.72/113,764.14 = 31,457.56/x
  3. Step 3: Cross multiply
    75,842.72x = 113,764.14 × 31,457.56
  4. Step 4: Simplify right side
    75,842.72x = 3,578,742,259.90
  5. Step 5: Solve for x
    x = 3,578,742,259.90/75,842.72
  6. Step 6: Final answer
    x = 47,186.36

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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.