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Finding the Fourth Proportional to 102,922.40, 154,164.90 and 85,426.40

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Solution

The fourth proportional to 102,922.40, 154,164.90 and 85,426.40 is: 127,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,922.40 : 154,164.90 = 85,426.40 : x
  2. Step 2: Convert to fraction form
    102,922.40/154,164.90 = 85,426.40/x
  3. Step 3: Cross multiply
    102,922.40x = 154,164.90 × 85,426.40
  4. Step 4: Simplify right side
    102,922.40x = 13,169,752,413.36
  5. Step 5: Solve for x
    x = 13,169,752,413.36/102,922.40
  6. Step 6: Final answer
    x = 127,958.08

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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.