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Finding the Fourth Proportional to 45,141, 67,711.52 and 12,309

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Solution

The fourth proportional to 45,141, 67,711.52 and 12,309 is: 18,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,141 : 67,711.52 = 12,309 : x
  2. Step 2: Convert to fraction form
    45,141/67,711.52 = 12,309/x
  3. Step 3: Cross multiply
    45,141x = 67,711.52 × 12,309
  4. Step 4: Simplify right side
    45,141x = 833,461,099.68
  5. Step 5: Solve for x
    x = 833,461,099.68/45,141
  6. Step 6: Final answer
    x = 18,463.51

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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.