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Finding the Fourth Proportional to 70,780.84, 106,245 and 31,365.63

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Solution

The fourth proportional to 70,780.84, 106,245 and 31,365.63 is: 47,081.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,780.84 : 106,245 = 31,365.63 : x
  2. Step 2: Convert to fraction form
    70,780.84/106,245 = 31,365.63/x
  3. Step 3: Cross multiply
    70,780.84x = 106,245 × 31,365.63
  4. Step 4: Simplify right side
    70,780.84x = 3,332,441,359.35
  5. Step 5: Solve for x
    x = 3,332,441,359.35/70,780.84
  6. Step 6: Final answer
    x = 47,081.12

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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.