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Finding the Fourth Proportional to 128,649.51, 193,013.96 and 57,631.95

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Solution

The fourth proportional to 128,649.51, 193,013.96 and 57,631.95 is: 86,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,649.51 : 193,013.96 = 57,631.95 : x
  2. Step 2: Convert to fraction form
    128,649.51/193,013.96 = 57,631.95/x
  3. Step 3: Cross multiply
    128,649.51x = 193,013.96 × 57,631.95
  4. Step 4: Simplify right side
    128,649.51x = 11,123,770,603.86
  5. Step 5: Solve for x
    x = 11,123,770,603.86/128,649.51
  6. Step 6: Final answer
    x = 86,465.71

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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.