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Finding the Fourth Proportional to 78,059.50, 107,724.07 and 47,861.47

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Solution

The fourth proportional to 78,059.50, 107,724.07 and 47,861.47 is: 66,050.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,059.50 : 107,724.07 = 47,861.47 : x
  2. Step 2: Convert to fraction form
    78,059.50/107,724.07 = 47,861.47/x
  3. Step 3: Cross multiply
    78,059.50x = 107,724.07 × 47,861.47
  4. Step 4: Simplify right side
    78,059.50x = 5,155,831,955.62
  5. Step 5: Solve for x
    x = 5,155,831,955.62/78,059.50
  6. Step 6: Final answer
    x = 66,050.03

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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.