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Finding the Fourth Proportional to 227,863.50, 314,478.35 and 137,265.20

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Solution

The fourth proportional to 227,863.50, 314,478.35 and 137,265.20 is: 189,442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,863.50 : 314,478.35 = 137,265.20 : x
  2. Step 2: Convert to fraction form
    227,863.50/314,478.35 = 137,265.20/x
  3. Step 3: Cross multiply
    227,863.50x = 314,478.35 × 137,265.20
  4. Step 4: Simplify right side
    227,863.50x = 43,166,931,349.70
  5. Step 5: Solve for x
    x = 43,166,931,349.70/227,863.50
  6. Step 6: Final answer
    x = 189,442.06

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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.