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Finding the Fourth Proportional to 76,758.48, 105,926.16 and 42,765.24

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Solution

The fourth proportional to 76,758.48, 105,926.16 and 42,765.24 is: 59,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,758.48 : 105,926.16 = 42,765.24 : x
  2. Step 2: Convert to fraction form
    76,758.48/105,926.16 = 42,765.24/x
  3. Step 3: Cross multiply
    76,758.48x = 105,926.16 × 42,765.24
  4. Step 4: Simplify right side
    76,758.48x = 4,529,957,654.68
  5. Step 5: Solve for x
    x = 4,529,957,654.68/76,758.48
  6. Step 6: Final answer
    x = 59,015.73

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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.