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Finding the Fourth Proportional to 70,572.84, 105,867.82 and 31,139.88

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Solution

The fourth proportional to 70,572.84, 105,867.82 and 31,139.88 is: 46,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,572.84 : 105,867.82 = 31,139.88 : x
  2. Step 2: Convert to fraction form
    70,572.84/105,867.82 = 31,139.88/x
  3. Step 3: Cross multiply
    70,572.84x = 105,867.82 × 31,139.88
  4. Step 4: Simplify right side
    70,572.84x = 3,296,711,210.66
  5. Step 5: Solve for x
    x = 3,296,711,210.66/70,572.84
  6. Step 6: Final answer
    x = 46,713.60

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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.