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Finding the Fourth Proportional to 61,049.71, 91,500.75 and 31,451.40

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Solution

The fourth proportional to 61,049.71, 91,500.75 and 31,451.40 is: 47,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,049.71 : 91,500.75 = 31,451.40 : x
  2. Step 2: Convert to fraction form
    61,049.71/91,500.75 = 31,451.40/x
  3. Step 3: Cross multiply
    61,049.71x = 91,500.75 × 31,451.40
  4. Step 4: Simplify right side
    61,049.71x = 2,877,826,688.55
  5. Step 5: Solve for x
    x = 2,877,826,688.55/61,049.71
  6. Step 6: Final answer
    x = 47,139.07

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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.