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Finding the Fourth Proportional to 78,057.47, 107,721.93 and 47,836.96

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Solution

The fourth proportional to 78,057.47, 107,721.93 and 47,836.96 is: 66,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,057.47 : 107,721.93 = 47,836.96 : x
  2. Step 2: Convert to fraction form
    78,057.47/107,721.93 = 47,836.96/x
  3. Step 3: Cross multiply
    78,057.47x = 107,721.93 × 47,836.96
  4. Step 4: Simplify right side
    78,057.47x = 5,153,089,656.53
  5. Step 5: Solve for x
    x = 5,153,089,656.53/78,057.47
  6. Step 6: Final answer
    x = 66,016.61

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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.