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Finding the Fourth Proportional to 198,009.48, 297,069.08 and 91,426

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Solution

The fourth proportional to 198,009.48, 297,069.08 and 91,426 is: 137,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,009.48 : 297,069.08 = 91,426 : x
  2. Step 2: Convert to fraction form
    198,009.48/297,069.08 = 91,426/x
  3. Step 3: Cross multiply
    198,009.48x = 297,069.08 × 91,426
  4. Step 4: Simplify right side
    198,009.48x = 27,159,837,708.08
  5. Step 5: Solve for x
    x = 27,159,837,708.08/198,009.48
  6. Step 6: Final answer
    x = 137,164.33

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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.