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Finding the Fourth Proportional to 70,838.40, 106,208.28 and 31,374.12

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Solution

The fourth proportional to 70,838.40, 106,208.28 and 31,374.12 is: 47,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,838.40 : 106,208.28 = 31,374.12 : x
  2. Step 2: Convert to fraction form
    70,838.40/106,208.28 = 31,374.12/x
  3. Step 3: Cross multiply
    70,838.40x = 106,208.28 × 31,374.12
  4. Step 4: Simplify right side
    70,838.40x = 3,332,191,321.71
  5. Step 5: Solve for x
    x = 3,332,191,321.71/70,838.40
  6. Step 6: Final answer
    x = 47,039.34

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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.