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Finding the Fourth Proportional to 103,598.73, 155,513.31 and 53,665.47

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Solution

The fourth proportional to 103,598.73, 155,513.31 and 53,665.47 is: 80,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,598.73 : 155,513.31 = 53,665.47 : x
  2. Step 2: Convert to fraction form
    103,598.73/155,513.31 = 53,665.47/x
  3. Step 3: Cross multiply
    103,598.73x = 155,513.31 × 53,665.47
  4. Step 4: Simplify right side
    103,598.73x = 8,345,694,872.41
  5. Step 5: Solve for x
    x = 8,345,694,872.41/103,598.73
  6. Step 6: Final answer
    x = 80,557.89

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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.