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Finding the Fourth Proportional to 197,677.28, 272,774.28 and 112,778

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Solution

The fourth proportional to 197,677.28, 272,774.28 and 112,778 is: 155,622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,677.28 : 272,774.28 = 112,778 : x
  2. Step 2: Convert to fraction form
    197,677.28/272,774.28 = 112,778/x
  3. Step 3: Cross multiply
    197,677.28x = 272,774.28 × 112,778
  4. Step 4: Simplify right side
    197,677.28x = 30,762,937,749.84
  5. Step 5: Solve for x
    x = 30,762,937,749.84/197,677.28
  6. Step 6: Final answer
    x = 155,622.02

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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.