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Finding the Fourth Proportional to 106,240, 146,611.20 and 59,136

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Solution

The fourth proportional to 106,240, 146,611.20 and 59,136 is: 81,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,240 : 146,611.20 = 59,136 : x
  2. Step 2: Convert to fraction form
    106,240/146,611.20 = 59,136/x
  3. Step 3: Cross multiply
    106,240x = 146,611.20 × 59,136
  4. Step 4: Simplify right side
    106,240x = 8,669,999,923.20
  5. Step 5: Solve for x
    x = 8,669,999,923.20/106,240
  6. Step 6: Final answer
    x = 81,607.68

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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.