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Finding the Fourth Proportional to 75,768.30, 113,721.30 and 38,354.40

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Solution

The fourth proportional to 75,768.30, 113,721.30 and 38,354.40 is: 57,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,768.30 : 113,721.30 = 38,354.40 : x
  2. Step 2: Convert to fraction form
    75,768.30/113,721.30 = 38,354.40/x
  3. Step 3: Cross multiply
    75,768.30x = 113,721.30 × 38,354.40
  4. Step 4: Simplify right side
    75,768.30x = 4,361,712,228.72
  5. Step 5: Solve for x
    x = 4,361,712,228.72/75,768.30
  6. Step 6: Final answer
    x = 57,566.45

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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.