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Finding the Fourth Proportional to 53,319.20, 79,978.79 and 16,383.20

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Solution

The fourth proportional to 53,319.20, 79,978.79 and 16,383.20 is: 24,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,319.20 : 79,978.79 = 16,383.20 : x
  2. Step 2: Convert to fraction form
    53,319.20/79,978.79 = 16,383.20/x
  3. Step 3: Cross multiply
    53,319.20x = 79,978.79 × 16,383.20
  4. Step 4: Simplify right side
    53,319.20x = 1,310,308,030.52
  5. Step 5: Solve for x
    x = 1,310,308,030.52/53,319.20
  6. Step 6: Final answer
    x = 24,574.79

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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.