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Finding the Fourth Proportional to 76,656.70, 114,766.35 and 47,132.20

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Solution

The fourth proportional to 76,656.70, 114,766.35 and 47,132.20 is: 70,563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656.70 : 114,766.35 = 47,132.20 : x
  2. Step 2: Convert to fraction form
    76,656.70/114,766.35 = 47,132.20/x
  3. Step 3: Cross multiply
    76,656.70x = 114,766.35 × 47,132.20
  4. Step 4: Simplify right side
    76,656.70x = 5,409,190,561.47
  5. Step 5: Solve for x
    x = 5,409,190,561.47/76,656.70
  6. Step 6: Final answer
    x = 70,563.83

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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.