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Finding the Fourth Proportional to 163,906.50, 245,902 and 89,007.42

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Solution

The fourth proportional to 163,906.50, 245,902 and 89,007.42 is: 133,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,906.50 : 245,902 = 89,007.42 : x
  2. Step 2: Convert to fraction form
    163,906.50/245,902 = 89,007.42/x
  3. Step 3: Cross multiply
    163,906.50x = 245,902 × 89,007.42
  4. Step 4: Simplify right side
    163,906.50x = 21,887,102,592.84
  5. Step 5: Solve for x
    x = 21,887,102,592.84/163,906.50
  6. Step 6: Final answer
    x = 133,534.07

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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.