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Finding the Fourth Proportional to 55,465.62, 83,213.02 and 19,930.52

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Solution

The fourth proportional to 55,465.62, 83,213.02 and 19,930.52 is: 29,901.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,465.62 : 83,213.02 = 19,930.52 : x
  2. Step 2: Convert to fraction form
    55,465.62/83,213.02 = 19,930.52/x
  3. Step 3: Cross multiply
    55,465.62x = 83,213.02 × 19,930.52
  4. Step 4: Simplify right side
    55,465.62x = 1,658,478,759.37
  5. Step 5: Solve for x
    x = 1,658,478,759.37/55,465.62
  6. Step 6: Final answer
    x = 29,901.02

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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.