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Finding the Fourth Proportional to 125,136, 187,734.24 and 51,264

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Solution

The fourth proportional to 125,136, 187,734.24 and 51,264 is: 76,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,136 : 187,734.24 = 51,264 : x
  2. Step 2: Convert to fraction form
    125,136/187,734.24 = 51,264/x
  3. Step 3: Cross multiply
    125,136x = 187,734.24 × 51,264
  4. Step 4: Simplify right side
    125,136x = 9,624,008,079.36
  5. Step 5: Solve for x
    x = 9,624,008,079.36/125,136
  6. Step 6: Final answer
    x = 76,908.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.