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Finding the Fourth Proportional to 78,310.51, 108,049.79 and 47,683.25

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Solution

The fourth proportional to 78,310.51, 108,049.79 and 47,683.25 is: 65,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,310.51 : 108,049.79 = 47,683.25 : x
  2. Step 2: Convert to fraction form
    78,310.51/108,049.79 = 47,683.25/x
  3. Step 3: Cross multiply
    78,310.51x = 108,049.79 × 47,683.25
  4. Step 4: Simplify right side
    78,310.51x = 5,152,164,864.95
  5. Step 5: Solve for x
    x = 5,152,164,864.95/78,310.51
  6. Step 6: Final answer
    x = 65,791.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.