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Finding the Fourth Proportional to 103,580.73, 155,453.10 and 40,431.10

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Solution

The fourth proportional to 103,580.73, 155,453.10 and 40,431.10 is: 60,678.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,580.73 : 155,453.10 = 40,431.10 : x
  2. Step 2: Convert to fraction form
    103,580.73/155,453.10 = 40,431.10/x
  3. Step 3: Cross multiply
    103,580.73x = 155,453.10 × 40,431.10
  4. Step 4: Simplify right side
    103,580.73x = 6,285,139,831.41
  5. Step 5: Solve for x
    x = 6,285,139,831.41/103,580.73
  6. Step 6: Final answer
    x = 60,678.66

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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.