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Finding the Fourth Proportional to 105,290.80, 157,797.88 and 49,902.64

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Solution

The fourth proportional to 105,290.80, 157,797.88 and 49,902.64 is: 74,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,290.80 : 157,797.88 = 49,902.64 : x
  2. Step 2: Convert to fraction form
    105,290.80/157,797.88 = 49,902.64/x
  3. Step 3: Cross multiply
    105,290.80x = 157,797.88 × 49,902.64
  4. Step 4: Simplify right side
    105,290.80x = 7,874,530,798.40
  5. Step 5: Solve for x
    x = 7,874,530,798.40/105,290.80
  6. Step 6: Final answer
    x = 74,788.40

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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.