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Finding the Fourth Proportional to 152,393.80, 228,072.30 and 133,731.40

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Solution

The fourth proportional to 152,393.80, 228,072.30 and 133,731.40 is: 200,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,393.80 : 228,072.30 = 133,731.40 : x
  2. Step 2: Convert to fraction form
    152,393.80/228,072.30 = 133,731.40/x
  3. Step 3: Cross multiply
    152,393.80x = 228,072.30 × 133,731.40
  4. Step 4: Simplify right side
    152,393.80x = 30,500,427,980.22
  5. Step 5: Solve for x
    x = 30,500,427,980.22/152,393.80
  6. Step 6: Final answer
    x = 200,142.18

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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.