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Finding the Fourth Proportional to 78,008.33, 107,652.02 and 47,793.71

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Solution

The fourth proportional to 78,008.33, 107,652.02 and 47,793.71 is: 65,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,008.33 : 107,652.02 = 47,793.71 : x
  2. Step 2: Convert to fraction form
    78,008.33/107,652.02 = 47,793.71/x
  3. Step 3: Cross multiply
    78,008.33x = 107,652.02 × 47,793.71
  4. Step 4: Simplify right side
    78,008.33x = 5,145,089,424.79
  5. Step 5: Solve for x
    x = 5,145,089,424.79/78,008.33
  6. Step 6: Final answer
    x = 65,955.64

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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.