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Finding the Fourth Proportional to 78,706.56, 118,016.08 and 31,904.76

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Solution

The fourth proportional to 78,706.56, 118,016.08 and 31,904.76 is: 47,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,706.56 : 118,016.08 = 31,904.76 : x
  2. Step 2: Convert to fraction form
    78,706.56/118,016.08 = 31,904.76/x
  3. Step 3: Cross multiply
    78,706.56x = 118,016.08 × 31,904.76
  4. Step 4: Simplify right side
    78,706.56x = 3,765,274,708.54
  5. Step 5: Solve for x
    x = 3,765,274,708.54/78,706.56
  6. Step 6: Final answer
    x = 47,839.40

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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.