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Finding the Fourth Proportional to 97,122.72, 134,029.20 and 54,679.20

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Solution

The fourth proportional to 97,122.72, 134,029.20 and 54,679.20 is: 75,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,122.72 : 134,029.20 = 54,679.20 : x
  2. Step 2: Convert to fraction form
    97,122.72/134,029.20 = 54,679.20/x
  3. Step 3: Cross multiply
    97,122.72x = 134,029.20 × 54,679.20
  4. Step 4: Simplify right side
    97,122.72x = 7,328,609,432.64
  5. Step 5: Solve for x
    x = 7,328,609,432.64/97,122.72
  6. Step 6: Final answer
    x = 75,457.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.