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Finding the Fourth Proportional to 75,842.20, 113,856.90 and 47,762.20

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Solution

The fourth proportional to 75,842.20, 113,856.90 and 47,762.20 is: 71,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,842.20 : 113,856.90 = 47,762.20 : x
  2. Step 2: Convert to fraction form
    75,842.20/113,856.90 = 47,762.20/x
  3. Step 3: Cross multiply
    75,842.20x = 113,856.90 × 47,762.20
  4. Step 4: Simplify right side
    75,842.20x = 5,438,056,029.18
  5. Step 5: Solve for x
    x = 5,438,056,029.18/75,842.20
  6. Step 6: Final answer
    x = 71,702.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.