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Finding the Fourth Proportional to 136,345.70, 188,032.64 and 85,957.22

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Solution

The fourth proportional to 136,345.70, 188,032.64 and 85,957.22 is: 118,542.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,345.70 : 188,032.64 = 85,957.22 : x
  2. Step 2: Convert to fraction form
    136,345.70/188,032.64 = 85,957.22/x
  3. Step 3: Cross multiply
    136,345.70x = 188,032.64 × 85,957.22
  4. Step 4: Simplify right side
    136,345.70x = 16,162,763,003.66
  5. Step 5: Solve for x
    x = 16,162,763,003.66/136,345.70
  6. Step 6: Final answer
    x = 118,542.52

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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.