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Finding the Fourth Proportional to 105,321.40, 157,982.10 and 35,200.72

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Solution

The fourth proportional to 105,321.40, 157,982.10 and 35,200.72 is: 52,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,321.40 : 157,982.10 = 35,200.72 : x
  2. Step 2: Convert to fraction form
    105,321.40/157,982.10 = 35,200.72/x
  3. Step 3: Cross multiply
    105,321.40x = 157,982.10 × 35,200.72
  4. Step 4: Simplify right side
    105,321.40x = 5,561,083,667.11
  5. Step 5: Solve for x
    x = 5,561,083,667.11/105,321.40
  6. Step 6: Final answer
    x = 52,801.08

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1.5x scale

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.