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Finding the Fourth Proportional to 191,597.76, 286,696.80 and 112,749.12

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Solution

The fourth proportional to 191,597.76, 286,696.80 and 112,749.12 is: 168,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,597.76 : 286,696.80 = 112,749.12 : x
  2. Step 2: Convert to fraction form
    191,597.76/286,696.80 = 112,749.12/x
  3. Step 3: Cross multiply
    191,597.76x = 286,696.80 × 112,749.12
  4. Step 4: Simplify right side
    191,597.76x = 32,324,811,906.82
  5. Step 5: Solve for x
    x = 32,324,811,906.82/191,597.76
  6. Step 6: Final answer
    x = 168,711.85

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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.