Home / 65,089.36-97,690.20-31,834

Finding the Fourth Proportional to 65,089.36, 97,690.20 and 31,834

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Solution

The fourth proportional to 65,089.36, 97,690.20 and 31,834 is: 47,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,089.36 : 97,690.20 = 31,834 : x
  2. Step 2: Convert to fraction form
    65,089.36/97,690.20 = 31,834/x
  3. Step 3: Cross multiply
    65,089.36x = 97,690.20 × 31,834
  4. Step 4: Simplify right side
    65,089.36x = 3,109,869,826.80
  5. Step 5: Solve for x
    x = 3,109,869,826.80/65,089.36
  6. Step 6: Final answer
    x = 47,778.47

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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.