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Finding the Fourth Proportional to 197,866.56, 296,802.12 and 71,516.40

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Solution

The fourth proportional to 197,866.56, 296,802.12 and 71,516.40 is: 107,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,866.56 : 296,802.12 = 71,516.40 : x
  2. Step 2: Convert to fraction form
    197,866.56/296,802.12 = 71,516.40/x
  3. Step 3: Cross multiply
    197,866.56x = 296,802.12 × 71,516.40
  4. Step 4: Simplify right side
    197,866.56x = 21,226,219,134.77
  5. Step 5: Solve for x
    x = 21,226,219,134.77/197,866.56
  6. Step 6: Final answer
    x = 107,275.42

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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.