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Finding the Fourth Proportional to 61,776, 85,213.12 and 36,608.64

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Solution

The fourth proportional to 61,776, 85,213.12 and 36,608.64 is: 50,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,776 : 85,213.12 = 36,608.64 : x
  2. Step 2: Convert to fraction form
    61,776/85,213.12 = 36,608.64/x
  3. Step 3: Cross multiply
    61,776x = 85,213.12 × 36,608.64
  4. Step 4: Simplify right side
    61,776x = 3,119,536,433.36
  5. Step 5: Solve for x
    x = 3,119,536,433.36/61,776
  6. Step 6: Final answer
    x = 50,497.55

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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.