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Finding the Fourth Proportional to 78,129, 107,820.14 and 47,896.92

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Solution

The fourth proportional to 78,129, 107,820.14 and 47,896.92 is: 66,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,129 : 107,820.14 = 47,896.92 : x
  2. Step 2: Convert to fraction form
    78,129/107,820.14 = 47,896.92/x
  3. Step 3: Cross multiply
    78,129x = 107,820.14 × 47,896.92
  4. Step 4: Simplify right side
    78,129x = 5,164,252,380.48
  5. Step 5: Solve for x
    x = 5,164,252,380.48/78,129
  6. Step 6: Final answer
    x = 66,099.05

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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.