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Finding the Fourth Proportional to 154,855.35, 213,792 and 97,543.79

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Solution

The fourth proportional to 154,855.35, 213,792 and 97,543.79 is: 134,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,855.35 : 213,792 = 97,543.79 : x
  2. Step 2: Convert to fraction form
    154,855.35/213,792 = 97,543.79/x
  3. Step 3: Cross multiply
    154,855.35x = 213,792 × 97,543.79
  4. Step 4: Simplify right side
    154,855.35x = 20,854,081,951.68
  5. Step 5: Solve for x
    x = 20,854,081,951.68/154,855.35
  6. Step 6: Final answer
    x = 134,668.14

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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.