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Finding the Fourth Proportional to 105,286.30, 157,945.84 and 63,156.48

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Solution

The fourth proportional to 105,286.30, 157,945.84 and 63,156.48 is: 94,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,286.30 : 157,945.84 = 63,156.48 : x
  2. Step 2: Convert to fraction form
    105,286.30/157,945.84 = 63,156.48/x
  3. Step 3: Cross multiply
    105,286.30x = 157,945.84 × 63,156.48
  4. Step 4: Simplify right side
    105,286.30x = 9,975,303,285.04
  5. Step 5: Solve for x
    x = 9,975,303,285.04/105,286.30
  6. Step 6: Final answer
    x = 94,744.55

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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.