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Finding the Fourth Proportional to 55,150.47, 82,715.11 and 21,416.47

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Solution

The fourth proportional to 55,150.47, 82,715.11 and 21,416.47 is: 32,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,150.47 : 82,715.11 = 21,416.47 : x
  2. Step 2: Convert to fraction form
    55,150.47/82,715.11 = 21,416.47/x
  3. Step 3: Cross multiply
    55,150.47x = 82,715.11 × 21,416.47
  4. Step 4: Simplify right side
    55,150.47x = 1,771,465,411.53
  5. Step 5: Solve for x
    x = 1,771,465,411.53/55,150.47
  6. Step 6: Final answer
    x = 32,120.59

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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.