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Finding the Fourth Proportional to 40,102.72, 60,153.81 and 31,345

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Solution

The fourth proportional to 40,102.72, 60,153.81 and 31,345 is: 47,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,102.72 : 60,153.81 = 31,345 : x
  2. Step 2: Convert to fraction form
    40,102.72/60,153.81 = 31,345/x
  3. Step 3: Cross multiply
    40,102.72x = 60,153.81 × 31,345
  4. Step 4: Simplify right side
    40,102.72x = 1,885,521,174.45
  5. Step 5: Solve for x
    x = 1,885,521,174.45/40,102.72
  6. Step 6: Final answer
    x = 47,017.29

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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.