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Finding the Fourth Proportional to 259,932, 358,706.16 and 140,700

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Solution

The fourth proportional to 259,932, 358,706.16 and 140,700 is: 194,166

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,932 : 358,706.16 = 140,700 : x
  2. Step 2: Convert to fraction form
    259,932/358,706.16 = 140,700/x
  3. Step 3: Cross multiply
    259,932x = 358,706.16 × 140,700
  4. Step 4: Simplify right side
    259,932x = 50,469,956,712
  5. Step 5: Solve for x
    x = 50,469,956,712/259,932
  6. Step 6: Final answer
    x = 194,166

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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.