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Finding the Fourth Proportional to 197,708.68, 272,811.78 and 112,820.68

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Solution

The fourth proportional to 197,708.68, 272,811.78 and 112,820.68 is: 155,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,708.68 : 272,811.78 = 112,820.68 : x
  2. Step 2: Convert to fraction form
    197,708.68/272,811.78 = 112,820.68/x
  3. Step 3: Cross multiply
    197,708.68x = 272,811.78 × 112,820.68
  4. Step 4: Simplify right side
    197,708.68x = 30,778,810,531.61
  5. Step 5: Solve for x
    x = 30,778,810,531.61/197,708.68
  6. Step 6: Final answer
    x = 155,677.59

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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.