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Finding the Fourth Proportional to 114,953.14, 172,415.13 and 85,414.06

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Solution

The fourth proportional to 114,953.14, 172,415.13 and 85,414.06 is: 128,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,953.14 : 172,415.13 = 85,414.06 : x
  2. Step 2: Convert to fraction form
    114,953.14/172,415.13 = 85,414.06/x
  3. Step 3: Cross multiply
    114,953.14x = 172,415.13 × 85,414.06
  4. Step 4: Simplify right side
    114,953.14x = 14,726,676,258.73
  5. Step 5: Solve for x
    x = 14,726,676,258.73/114,953.14
  6. Step 6: Final answer
    x = 128,110.26

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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.