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Finding the Fourth Proportional to 103,396.58, 155,123.00 and 40,219.16

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Solution

The fourth proportional to 103,396.58, 155,123.00 and 40,219.16 is: 60,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,396.58 : 155,123.00 = 40,219.16 : x
  2. Step 2: Convert to fraction form
    103,396.58/155,123.00 = 40,219.16/x
  3. Step 3: Cross multiply
    103,396.58x = 155,123.00 × 40,219.16
  4. Step 4: Simplify right side
    103,396.58x = 6,238,916,367.07
  5. Step 5: Solve for x
    x = 6,238,916,367.07/103,396.58
  6. Step 6: Final answer
    x = 60,339.68

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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.