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Finding the Fourth Proportional to 76,419.66, 105,452.91 and 42,884.94

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Solution

The fourth proportional to 76,419.66, 105,452.91 and 42,884.94 is: 59,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,419.66 : 105,452.91 = 42,884.94 : x
  2. Step 2: Convert to fraction form
    76,419.66/105,452.91 = 42,884.94/x
  3. Step 3: Cross multiply
    76,419.66x = 105,452.91 × 42,884.94
  4. Step 4: Simplify right side
    76,419.66x = 4,522,341,718.18
  5. Step 5: Solve for x
    x = 4,522,341,718.18/76,419.66
  6. Step 6: Final answer
    x = 59,177.73

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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.