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Finding the Fourth Proportional to 115,561.12, 173,199.90 and 65,683

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Solution

The fourth proportional to 115,561.12, 173,199.90 and 65,683 is: 98,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,561.12 : 173,199.90 = 65,683 : x
  2. Step 2: Convert to fraction form
    115,561.12/173,199.90 = 65,683/x
  3. Step 3: Cross multiply
    115,561.12x = 173,199.90 × 65,683
  4. Step 4: Simplify right side
    115,561.12x = 11,376,289,031.70
  5. Step 5: Solve for x
    x = 11,376,289,031.70/115,561.12
  6. Step 6: Final answer
    x = 98,443.91

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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.