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Finding the Fourth Proportional to 210,870.20, 315,921.30 and 99,817.40

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Solution

The fourth proportional to 210,870.20, 315,921.30 and 99,817.40 is: 149,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,870.20 : 315,921.30 = 99,817.40 : x
  2. Step 2: Convert to fraction form
    210,870.20/315,921.30 = 99,817.40/x
  3. Step 3: Cross multiply
    210,870.20x = 315,921.30 × 99,817.40
  4. Step 4: Simplify right side
    210,870.20x = 31,534,442,770.62
  5. Step 5: Solve for x
    x = 31,534,442,770.62/210,870.20
  6. Step 6: Final answer
    x = 149,544.33

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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.