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Finding the Fourth Proportional to 76,321.82, 105,412.89 and 61,061.28

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Solution

The fourth proportional to 76,321.82, 105,412.89 and 61,061.28 is: 84,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,321.82 : 105,412.89 = 61,061.28 : x
  2. Step 2: Convert to fraction form
    76,321.82/105,412.89 = 61,061.28/x
  3. Step 3: Cross multiply
    76,321.82x = 105,412.89 × 61,061.28
  4. Step 4: Simplify right side
    76,321.82x = 6,436,645,991.90
  5. Step 5: Solve for x
    x = 6,436,645,991.90/76,321.82
  6. Step 6: Final answer
    x = 84,335.60

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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.