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Finding the Fourth Proportional to 73,114.40, 109,715.48 and 31,561.36

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Solution

The fourth proportional to 73,114.40, 109,715.48 and 31,561.36 is: 47,360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,114.40 : 109,715.48 = 31,561.36 : x
  2. Step 2: Convert to fraction form
    73,114.40/109,715.48 = 31,561.36/x
  3. Step 3: Cross multiply
    73,114.40x = 109,715.48 × 31,561.36
  4. Step 4: Simplify right side
    73,114.40x = 3,462,769,761.85
  5. Step 5: Solve for x
    x = 3,462,769,761.85/73,114.40
  6. Step 6: Final answer
    x = 47,360.98

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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.