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Finding the Fourth Proportional to 128,537, 177,565.82 and 102,661.57

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Solution

The fourth proportional to 128,537, 177,565.82 and 102,661.57 is: 141,820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,537 : 177,565.82 = 102,661.57 : x
  2. Step 2: Convert to fraction form
    128,537/177,565.82 = 102,661.57/x
  3. Step 3: Cross multiply
    128,537x = 177,565.82 × 102,661.57
  4. Step 4: Simplify right side
    128,537x = 18,229,185,859.54
  5. Step 5: Solve for x
    x = 18,229,185,859.54/128,537
  6. Step 6: Final answer
    x = 141,820.53

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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.