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Finding the Fourth Proportional to 78,257.01, 107,875.20 and 47,986.20

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Solution

The fourth proportional to 78,257.01, 107,875.20 and 47,986.20 is: 66,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,257.01 : 107,875.20 = 47,986.20 : x
  2. Step 2: Convert to fraction form
    78,257.01/107,875.20 = 47,986.20/x
  3. Step 3: Cross multiply
    78,257.01x = 107,875.20 × 47,986.20
  4. Step 4: Simplify right side
    78,257.01x = 5,176,520,922.24
  5. Step 5: Solve for x
    x = 5,176,520,922.24/78,257.01
  6. Step 6: Final answer
    x = 66,147.70

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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.