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Finding the Fourth Proportional to 92,487.24, 138,728.70 and 53,015.40

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Solution

The fourth proportional to 92,487.24, 138,728.70 and 53,015.40 is: 79,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,487.24 : 138,728.70 = 53,015.40 : x
  2. Step 2: Convert to fraction form
    92,487.24/138,728.70 = 53,015.40/x
  3. Step 3: Cross multiply
    92,487.24x = 138,728.70 × 53,015.40
  4. Step 4: Simplify right side
    92,487.24x = 7,354,757,521.98
  5. Step 5: Solve for x
    x = 7,354,757,521.98/92,487.24
  6. Step 6: Final answer
    x = 79,521.86

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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.