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Finding the Fourth Proportional to 149,064.30, 205,706.70 and 81,079.80

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Solution

The fourth proportional to 149,064.30, 205,706.70 and 81,079.80 is: 111,889.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,064.30 : 205,706.70 = 81,079.80 : x
  2. Step 2: Convert to fraction form
    149,064.30/205,706.70 = 81,079.80/x
  3. Step 3: Cross multiply
    149,064.30x = 205,706.70 × 81,079.80
  4. Step 4: Simplify right side
    149,064.30x = 16,678,658,094.66
  5. Step 5: Solve for x
    x = 16,678,658,094.66/149,064.30
  6. Step 6: Final answer
    x = 111,889.02

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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.