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Finding the Fourth Proportional to 152,431.80, 228,906.90 and 113,033.40

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Solution

The fourth proportional to 152,431.80, 228,906.90 and 113,033.40 is: 169,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,431.80 : 228,906.90 = 113,033.40 : x
  2. Step 2: Convert to fraction form
    152,431.80/228,906.90 = 113,033.40/x
  3. Step 3: Cross multiply
    152,431.80x = 228,906.90 × 113,033.40
  4. Step 4: Simplify right side
    152,431.80x = 25,874,125,190.46
  5. Step 5: Solve for x
    x = 25,874,125,190.46/152,431.80
  6. Step 6: Final answer
    x = 169,742.31

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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.