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Finding the Fourth Proportional to 103,411.15, 154,952.70 and 68,309.80

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Solution

The fourth proportional to 103,411.15, 154,952.70 and 68,309.80 is: 102,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,411.15 : 154,952.70 = 68,309.80 : x
  2. Step 2: Convert to fraction form
    103,411.15/154,952.70 = 68,309.80/x
  3. Step 3: Cross multiply
    103,411.15x = 154,952.70 × 68,309.80
  4. Step 4: Simplify right side
    103,411.15x = 10,584,787,946.46
  5. Step 5: Solve for x
    x = 10,584,787,946.46/103,411.15
  6. Step 6: Final answer
    x = 102,356.35

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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.