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Finding the Fourth Proportional to 76,424.96, 105,465.92 and 42,891.20

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Solution

The fourth proportional to 76,424.96, 105,465.92 and 42,891.20 is: 59,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,424.96 : 105,465.92 = 42,891.20 : x
  2. Step 2: Convert to fraction form
    76,424.96/105,465.92 = 42,891.20/x
  3. Step 3: Cross multiply
    76,424.96x = 105,465.92 × 42,891.20
  4. Step 4: Simplify right side
    76,424.96x = 4,523,559,867.90
  5. Step 5: Solve for x
    x = 4,523,559,867.90/76,424.96
  6. Step 6: Final answer
    x = 59,189.56

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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.