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Finding the Fourth Proportional to 55,980, 83,978.64 and 20,924.64

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Solution

The fourth proportional to 55,980, 83,978.64 and 20,924.64 is: 31,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,980 : 83,978.64 = 20,924.64 : x
  2. Step 2: Convert to fraction form
    55,980/83,978.64 = 20,924.64/x
  3. Step 3: Cross multiply
    55,980x = 83,978.64 × 20,924.64
  4. Step 4: Simplify right side
    55,980x = 1,757,222,809.69
  5. Step 5: Solve for x
    x = 1,757,222,809.69/55,980
  6. Step 6: Final answer
    x = 31,390.19

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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.