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Finding the Fourth Proportional to 57,066.50, 85,638.63 and 20,130.50

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Solution

The fourth proportional to 57,066.50, 85,638.63 and 20,130.50 is: 30,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,066.50 : 85,638.63 = 20,130.50 : x
  2. Step 2: Convert to fraction form
    57,066.50/85,638.63 = 20,130.50/x
  3. Step 3: Cross multiply
    57,066.50x = 85,638.63 × 20,130.50
  4. Step 4: Simplify right side
    57,066.50x = 1,723,948,441.22
  5. Step 5: Solve for x
    x = 1,723,948,441.22/57,066.50
  6. Step 6: Final answer
    x = 30,209.47

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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.