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Finding the Fourth Proportional to 197,590.71, 296,386.07 and 72,931.71

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Solution

The fourth proportional to 197,590.71, 296,386.07 and 72,931.71 is: 109,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,590.71 : 296,386.07 = 72,931.71 : x
  2. Step 2: Convert to fraction form
    197,590.71/296,386.07 = 72,931.71/x
  3. Step 3: Cross multiply
    197,590.71x = 296,386.07 × 72,931.71
  4. Step 4: Simplify right side
    197,590.71x = 21,615,942,540.62
  5. Step 5: Solve for x
    x = 21,615,942,540.62/197,590.71
  6. Step 6: Final answer
    x = 109,397.57

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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.