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Finding the Fourth Proportional to 201,460, 278,020.92 and 110,811.28

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Solution

The fourth proportional to 201,460, 278,020.92 and 110,811.28 is: 152,922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,460 : 278,020.92 = 110,811.28 : x
  2. Step 2: Convert to fraction form
    201,460/278,020.92 = 110,811.28/x
  3. Step 3: Cross multiply
    201,460x = 278,020.92 × 110,811.28
  4. Step 4: Simplify right side
    201,460x = 30,807,854,011.98
  5. Step 5: Solve for x
    x = 30,807,854,011.98/201,460
  6. Step 6: Final answer
    x = 152,922.93

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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.