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Finding the Fourth Proportional to 89,369.20, 133,762.20 and 71,678.80

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Solution

The fourth proportional to 89,369.20, 133,762.20 and 71,678.80 is: 107,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,369.20 : 133,762.20 = 71,678.80 : x
  2. Step 2: Convert to fraction form
    89,369.20/133,762.20 = 71,678.80/x
  3. Step 3: Cross multiply
    89,369.20x = 133,762.20 × 71,678.80
  4. Step 4: Simplify right side
    89,369.20x = 9,587,913,981.36
  5. Step 5: Solve for x
    x = 9,587,913,981.36/89,369.20
  6. Step 6: Final answer
    x = 107,284.32

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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.