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Finding the Fourth Proportional to 103,115.40, 154,817.10 and 65,905.80

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Solution

The fourth proportional to 103,115.40, 154,817.10 and 65,905.80 is: 98,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,115.40 : 154,817.10 = 65,905.80 : x
  2. Step 2: Convert to fraction form
    103,115.40/154,817.10 = 65,905.80/x
  3. Step 3: Cross multiply
    103,115.40x = 154,817.10 × 65,905.80
  4. Step 4: Simplify right side
    103,115.40x = 10,203,344,829.18
  5. Step 5: Solve for x
    x = 10,203,344,829.18/103,115.40
  6. Step 6: Final answer
    x = 98,950.74

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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.