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Finding the Fourth Proportional to 45,032, 67,548 and 12,200

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Solution

The fourth proportional to 45,032, 67,548 and 12,200 is: 18,300

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,032 : 67,548 = 12,200 : x
  2. Step 2: Convert to fraction form
    45,032/67,548 = 12,200/x
  3. Step 3: Cross multiply
    45,032x = 67,548 × 12,200
  4. Step 4: Simplify right side
    45,032x = 824,085,600
  5. Step 5: Solve for x
    x = 824,085,600/45,032
  6. Step 6: Final answer
    x = 18,300

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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.