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Finding the Fourth Proportional to 149,079.80, 205,735.53 and 85,429.91

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Solution

The fourth proportional to 149,079.80, 205,735.53 and 85,429.91 is: 117,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,079.80 : 205,735.53 = 85,429.91 : x
  2. Step 2: Convert to fraction form
    149,079.80/205,735.53 = 85,429.91/x
  3. Step 3: Cross multiply
    149,079.80x = 205,735.53 × 85,429.91
  4. Step 4: Simplify right side
    149,079.80x = 17,575,966,783.02
  5. Step 5: Solve for x
    x = 17,575,966,783.02/149,079.80
  6. Step 6: Final answer
    x = 117,896.37

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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.