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Finding the Fourth Proportional to 20,089, 30,144.02 and 14,587.78

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Solution

The fourth proportional to 20,089, 30,144.02 and 14,587.78 is: 21,889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,089 : 30,144.02 = 14,587.78 : x
  2. Step 2: Convert to fraction form
    20,089/30,144.02 = 14,587.78/x
  3. Step 3: Cross multiply
    20,089x = 30,144.02 × 14,587.78
  4. Step 4: Simplify right side
    20,089x = 439,734,332.08
  5. Step 5: Solve for x
    x = 439,734,332.08/20,089
  6. Step 6: Final answer
    x = 21,889.31

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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.