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Finding the Fourth Proportional to 78,120.54, 107,817.12 and 47,900.52

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Solution

The fourth proportional to 78,120.54, 107,817.12 and 47,900.52 is: 66,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,120.54 : 107,817.12 = 47,900.52 : x
  2. Step 2: Convert to fraction form
    78,120.54/107,817.12 = 47,900.52/x
  3. Step 3: Cross multiply
    78,120.54x = 107,817.12 × 47,900.52
  4. Step 4: Simplify right side
    78,120.54x = 5,164,496,112.90
  5. Step 5: Solve for x
    x = 5,164,496,112.90/78,120.54
  6. Step 6: Final answer
    x = 66,109.32

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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.