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Finding the Fourth Proportional to 39,772, 59,658.36 and 12,070

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Solution

The fourth proportional to 39,772, 59,658.36 and 12,070 is: 18,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,772 : 59,658.36 = 12,070 : x
  2. Step 2: Convert to fraction form
    39,772/59,658.36 = 12,070/x
  3. Step 3: Cross multiply
    39,772x = 59,658.36 × 12,070
  4. Step 4: Simplify right side
    39,772x = 720,076,405.20
  5. Step 5: Solve for x
    x = 720,076,405.20/39,772
  6. Step 6: Final answer
    x = 18,105.11

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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.