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Finding the Fourth Proportional to 128,136.16, 192,070.50 and 43,871.50

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Solution

The fourth proportional to 128,136.16, 192,070.50 and 43,871.50 is: 65,761.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,136.16 : 192,070.50 = 43,871.50 : x
  2. Step 2: Convert to fraction form
    128,136.16/192,070.50 = 43,871.50/x
  3. Step 3: Cross multiply
    128,136.16x = 192,070.50 × 43,871.50
  4. Step 4: Simplify right side
    128,136.16x = 8,426,420,940.75
  5. Step 5: Solve for x
    x = 8,426,420,940.75/128,136.16
  6. Step 6: Final answer
    x = 65,761.46

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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.