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Finding the Fourth Proportional to 78,059.30, 107,724.44 and 47,838.78

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Solution

The fourth proportional to 78,059.30, 107,724.44 and 47,838.78 is: 66,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,059.30 : 107,724.44 = 47,838.78 : x
  2. Step 2: Convert to fraction form
    78,059.30/107,724.44 = 47,838.78/x
  3. Step 3: Cross multiply
    78,059.30x = 107,724.44 × 47,838.78
  4. Step 4: Simplify right side
    78,059.30x = 5,153,405,546.59
  5. Step 5: Solve for x
    x = 5,153,405,546.59/78,059.30
  6. Step 6: Final answer
    x = 66,019.11

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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.