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Finding the Fourth Proportional to 42,504, 63,728.65 and 16,194.39

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Solution

The fourth proportional to 42,504, 63,728.65 and 16,194.39 is: 24,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,504 : 63,728.65 = 16,194.39 : x
  2. Step 2: Convert to fraction form
    42,504/63,728.65 = 16,194.39/x
  3. Step 3: Cross multiply
    42,504x = 63,728.65 × 16,194.39
  4. Step 4: Simplify right side
    42,504x = 1,032,046,612.27
  5. Step 5: Solve for x
    x = 1,032,046,612.27/42,504
  6. Step 6: Final answer
    x = 24,281.16

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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.