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Finding the Fourth Proportional to 75,136.30, 103,688.09 and 41,602.30

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Solution

The fourth proportional to 75,136.30, 103,688.09 and 41,602.30 is: 57,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,136.30 : 103,688.09 = 41,602.30 : x
  2. Step 2: Convert to fraction form
    75,136.30/103,688.09 = 41,602.30/x
  3. Step 3: Cross multiply
    75,136.30x = 103,688.09 × 41,602.30
  4. Step 4: Simplify right side
    75,136.30x = 4,313,663,026.61
  5. Step 5: Solve for x
    x = 4,313,663,026.61/75,136.30
  6. Step 6: Final answer
    x = 57,411.17

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