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Finding the Fourth Proportional to 102,817, 154,155.23 and 54,792.84

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Solution

The fourth proportional to 102,817, 154,155.23 and 54,792.84 is: 82,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,817 : 154,155.23 = 54,792.84 : x
  2. Step 2: Convert to fraction form
    102,817/154,155.23 = 54,792.84/x
  3. Step 3: Cross multiply
    102,817x = 154,155.23 × 54,792.84
  4. Step 4: Simplify right side
    102,817x = 8,446,602,852.55
  5. Step 5: Solve for x
    x = 8,446,602,852.55/102,817
  6. Step 6: Final answer
    x = 82,151.81

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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.