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Finding the Fourth Proportional to 85,995, 128,997.36 and 30,591

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Solution

The fourth proportional to 85,995, 128,997.36 and 30,591 is: 45,888.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,995 : 128,997.36 = 30,591 : x
  2. Step 2: Convert to fraction form
    85,995/128,997.36 = 30,591/x
  3. Step 3: Cross multiply
    85,995x = 128,997.36 × 30,591
  4. Step 4: Simplify right side
    85,995x = 3,946,158,239.76
  5. Step 5: Solve for x
    x = 3,946,158,239.76/85,995
  6. Step 6: Final answer
    x = 45,888.23

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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.