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Finding the Fourth Proportional to 121,647.16, 182,468.58 and 38,539

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Solution

The fourth proportional to 121,647.16, 182,468.58 and 38,539 is: 57,807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,647.16 : 182,468.58 = 38,539 : x
  2. Step 2: Convert to fraction form
    121,647.16/182,468.58 = 38,539/x
  3. Step 3: Cross multiply
    121,647.16x = 182,468.58 × 38,539
  4. Step 4: Simplify right side
    121,647.16x = 7,032,156,604.62
  5. Step 5: Solve for x
    x = 7,032,156,604.62/121,647.16
  6. Step 6: Final answer
    x = 57,807.82

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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.