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Finding the Fourth Proportional to 72,266.90, 108,363.01 and 31,723.82

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Solution

The fourth proportional to 72,266.90, 108,363.01 and 31,723.82 is: 47,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,266.90 : 108,363.01 = 31,723.82 : x
  2. Step 2: Convert to fraction form
    72,266.90/108,363.01 = 31,723.82/x
  3. Step 3: Cross multiply
    72,266.90x = 108,363.01 × 31,723.82
  4. Step 4: Simplify right side
    72,266.90x = 3,437,688,465.28
  5. Step 5: Solve for x
    x = 3,437,688,465.28/72,266.90
  6. Step 6: Final answer
    x = 47,569.34

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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.