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Finding the Fourth Proportional to 103,143.84, 154,859.49 and 53,259.95

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Solution

The fourth proportional to 103,143.84, 154,859.49 and 53,259.95 is: 79,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,143.84 : 154,859.49 = 53,259.95 : x
  2. Step 2: Convert to fraction form
    103,143.84/154,859.49 = 53,259.95/x
  3. Step 3: Cross multiply
    103,143.84x = 154,859.49 × 53,259.95
  4. Step 4: Simplify right side
    103,143.84x = 8,247,807,920.13
  5. Step 5: Solve for x
    x = 8,247,807,920.13/103,143.84
  6. Step 6: Final answer
    x = 79,964.13

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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.