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Finding the Fourth Proportional to 105,626.92, 145,765.16 and 57,228.92

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Solution

The fourth proportional to 105,626.92, 145,765.16 and 57,228.92 is: 78,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,626.92 : 145,765.16 = 57,228.92 : x
  2. Step 2: Convert to fraction form
    105,626.92/145,765.16 = 57,228.92/x
  3. Step 3: Cross multiply
    105,626.92x = 145,765.16 × 57,228.92
  4. Step 4: Simplify right side
    105,626.92x = 8,341,982,680.43
  5. Step 5: Solve for x
    x = 8,341,982,680.43/105,626.92
  6. Step 6: Final answer
    x = 78,975.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.