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Finding the Fourth Proportional to 57,098.40, 85,724.55 and 33,430.20

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Solution

The fourth proportional to 57,098.40, 85,724.55 and 33,430.20 is: 50,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,098.40 : 85,724.55 = 33,430.20 : x
  2. Step 2: Convert to fraction form
    57,098.40/85,724.55 = 33,430.20/x
  3. Step 3: Cross multiply
    57,098.40x = 85,724.55 × 33,430.20
  4. Step 4: Simplify right side
    57,098.40x = 2,865,788,851.41
  5. Step 5: Solve for x
    x = 2,865,788,851.41/57,098.40
  6. Step 6: Final answer
    x = 50,190.35

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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.