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Finding the Fourth Proportional to 70,871.46, 106,292.55 and 31,403.40

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Solution

The fourth proportional to 70,871.46, 106,292.55 and 31,403.40 is: 47,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,871.46 : 106,292.55 = 31,403.40 : x
  2. Step 2: Convert to fraction form
    70,871.46/106,292.55 = 31,403.40/x
  3. Step 3: Cross multiply
    70,871.46x = 106,292.55 × 31,403.40
  4. Step 4: Simplify right side
    70,871.46x = 3,337,947,464.67
  5. Step 5: Solve for x
    x = 3,337,947,464.67/70,871.46
  6. Step 6: Final answer
    x = 47,098.61

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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.