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Finding the Fourth Proportional to 45,121, 67,681.50 and 12,289

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Solution

The fourth proportional to 45,121, 67,681.50 and 12,289 is: 18,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,121 : 67,681.50 = 12,289 : x
  2. Step 2: Convert to fraction form
    45,121/67,681.50 = 12,289/x
  3. Step 3: Cross multiply
    45,121x = 67,681.50 × 12,289
  4. Step 4: Simplify right side
    45,121x = 831,737,953.50
  5. Step 5: Solve for x
    x = 831,737,953.50/45,121
  6. Step 6: Final answer
    x = 18,433.50

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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.