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Finding the Fourth Proportional to 103,814.10, 155,393.10 and 81,506.70

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Solution

The fourth proportional to 103,814.10, 155,393.10 and 81,506.70 is: 122,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,814.10 : 155,393.10 = 81,506.70 : x
  2. Step 2: Convert to fraction form
    103,814.10/155,393.10 = 81,506.70/x
  3. Step 3: Cross multiply
    103,814.10x = 155,393.10 × 81,506.70
  4. Step 4: Simplify right side
    103,814.10x = 12,665,578,783.77
  5. Step 5: Solve for x
    x = 12,665,578,783.77/103,814.10
  6. Step 6: Final answer
    x = 122,002.49

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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.