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Finding the Fourth Proportional to 76,321.58, 105,327.36 and 47,658.20

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Solution

The fourth proportional to 76,321.58, 105,327.36 and 47,658.20 is: 65,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,321.58 : 105,327.36 = 47,658.20 : x
  2. Step 2: Convert to fraction form
    76,321.58/105,327.36 = 47,658.20/x
  3. Step 3: Cross multiply
    76,321.58x = 105,327.36 × 47,658.20
  4. Step 4: Simplify right side
    76,321.58x = 5,019,712,388.35
  5. Step 5: Solve for x
    x = 5,019,712,388.35/76,321.58
  6. Step 6: Final answer
    x = 65,770.55

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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.