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Finding the Fourth Proportional to 128,647.69, 177,531.16 and 71,286.51

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Solution

The fourth proportional to 128,647.69, 177,531.16 and 71,286.51 is: 98,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,647.69 : 177,531.16 = 71,286.51 : x
  2. Step 2: Convert to fraction form
    128,647.69/177,531.16 = 71,286.51/x
  3. Step 3: Cross multiply
    128,647.69x = 177,531.16 × 71,286.51
  4. Step 4: Simplify right side
    128,647.69x = 12,655,577,433.84
  5. Step 5: Solve for x
    x = 12,655,577,433.84/128,647.69
  6. Step 6: Final answer
    x = 98,373.92

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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.