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Finding the Fourth Proportional to 150,132, 207,188.64 and 83,064

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Solution

The fourth proportional to 150,132, 207,188.64 and 83,064 is: 114,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,132 : 207,188.64 = 83,064 : x
  2. Step 2: Convert to fraction form
    150,132/207,188.64 = 83,064/x
  3. Step 3: Cross multiply
    150,132x = 207,188.64 × 83,064
  4. Step 4: Simplify right side
    150,132x = 17,209,917,192.96
  5. Step 5: Solve for x
    x = 17,209,917,192.96/150,132
  6. Step 6: Final answer
    x = 114,631.91

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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.