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Finding the Fourth Proportional to 123,345.84, 184,863 and 102,817.20

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Solution

The fourth proportional to 123,345.84, 184,863 and 102,817.20 is: 154,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,345.84 : 184,863 = 102,817.20 : x
  2. Step 2: Convert to fraction form
    123,345.84/184,863 = 102,817.20/x
  3. Step 3: Cross multiply
    123,345.84x = 184,863 × 102,817.20
  4. Step 4: Simplify right side
    123,345.84x = 19,007,096,043.60
  5. Step 5: Solve for x
    x = 19,007,096,043.60/123,345.84
  6. Step 6: Final answer
    x = 154,095.96

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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.