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Finding the Fourth Proportional to 56,343.55, 84,390.74 and 38,532

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Solution

The fourth proportional to 56,343.55, 84,390.74 and 38,532 is: 57,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,343.55 : 84,390.74 = 38,532 : x
  2. Step 2: Convert to fraction form
    56,343.55/84,390.74 = 38,532/x
  3. Step 3: Cross multiply
    56,343.55x = 84,390.74 × 38,532
  4. Step 4: Simplify right side
    56,343.55x = 3,251,743,993.68
  5. Step 5: Solve for x
    x = 3,251,743,993.68/56,343.55
  6. Step 6: Final answer
    x = 57,712.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.