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Finding the Fourth Proportional to 75,136, 103,687.68 and 41,604.16

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Solution

The fourth proportional to 75,136, 103,687.68 and 41,604.16 is: 57,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,136 : 103,687.68 = 41,604.16 : x
  2. Step 2: Convert to fraction form
    75,136/103,687.68 = 41,604.16/x
  3. Step 3: Cross multiply
    75,136x = 103,687.68 × 41,604.16
  4. Step 4: Simplify right side
    75,136x = 4,313,838,828.75
  5. Step 5: Solve for x
    x = 4,313,838,828.75/75,136
  6. Step 6: Final answer
    x = 57,413.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.