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Finding the Fourth Proportional to 72,974.88, 109,264.90 and 37,840.68

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Solution

The fourth proportional to 72,974.88, 109,264.90 and 37,840.68 is: 56,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,974.88 : 109,264.90 = 37,840.68 : x
  2. Step 2: Convert to fraction form
    72,974.88/109,264.90 = 37,840.68/x
  3. Step 3: Cross multiply
    72,974.88x = 109,264.90 × 37,840.68
  4. Step 4: Simplify right side
    72,974.88x = 4,134,658,116.13
  5. Step 5: Solve for x
    x = 4,134,658,116.13/72,974.88
  6. Step 6: Final answer
    x = 56,658.65

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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.