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Finding the Fourth Proportional to 76,382.32, 105,412.44 and 42,850.48

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Solution

The fourth proportional to 76,382.32, 105,412.44 and 42,850.48 is: 59,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,382.32 : 105,412.44 = 42,850.48 : x
  2. Step 2: Convert to fraction form
    76,382.32/105,412.44 = 42,850.48/x
  3. Step 3: Cross multiply
    76,382.32x = 105,412.44 × 42,850.48
  4. Step 4: Simplify right side
    76,382.32x = 4,516,973,651.97
  5. Step 5: Solve for x
    x = 4,516,973,651.97/76,382.32
  6. Step 6: Final answer
    x = 59,136.38

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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.