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Finding the Fourth Proportional to 103,920.48, 143,458.20 and 60,894

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Solution

The fourth proportional to 103,920.48, 143,458.20 and 60,894 is: 84,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,920.48 : 143,458.20 = 60,894 : x
  2. Step 2: Convert to fraction form
    103,920.48/143,458.20 = 60,894/x
  3. Step 3: Cross multiply
    103,920.48x = 143,458.20 × 60,894
  4. Step 4: Simplify right side
    103,920.48x = 8,735,743,630.80
  5. Step 5: Solve for x
    x = 8,735,743,630.80/103,920.48
  6. Step 6: Final answer
    x = 84,061.81

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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.