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Finding the Fourth Proportional to 103,419.15, 154,964.70 and 68,317.80

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Solution

The fourth proportional to 103,419.15, 154,964.70 and 68,317.80 is: 102,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,419.15 : 154,964.70 = 68,317.80 : x
  2. Step 2: Convert to fraction form
    103,419.15/154,964.70 = 68,317.80/x
  3. Step 3: Cross multiply
    103,419.15x = 154,964.70 × 68,317.80
  4. Step 4: Simplify right side
    103,419.15x = 10,586,847,381.66
  5. Step 5: Solve for x
    x = 10,586,847,381.66/103,419.15
  6. Step 6: Final answer
    x = 102,368.35

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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.