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Finding the Fourth Proportional to 40,098.84, 60,154.02 and 12,399

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Solution

The fourth proportional to 40,098.84, 60,154.02 and 12,399 is: 18,600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,098.84 : 60,154.02 = 12,399 : x
  2. Step 2: Convert to fraction form
    40,098.84/60,154.02 = 12,399/x
  3. Step 3: Cross multiply
    40,098.84x = 60,154.02 × 12,399
  4. Step 4: Simplify right side
    40,098.84x = 745,849,693.98
  5. Step 5: Solve for x
    x = 745,849,693.98/40,098.84
  6. Step 6: Final answer
    x = 18,600.28

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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.