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Finding the Fourth Proportional to 70,784.92, 97,685.48 and 40,575.96

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Solution

The fourth proportional to 70,784.92, 97,685.48 and 40,575.96 is: 55,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,784.92 : 97,685.48 = 40,575.96 : x
  2. Step 2: Convert to fraction form
    70,784.92/97,685.48 = 40,575.96/x
  3. Step 3: Cross multiply
    70,784.92x = 97,685.48 × 40,575.96
  4. Step 4: Simplify right side
    70,784.92x = 3,963,682,129.06
  5. Step 5: Solve for x
    x = 3,963,682,129.06/70,784.92
  6. Step 6: Final answer
    x = 55,996.14

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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.