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Finding the Fourth Proportional to 227,761.40, 314,310.74 and 127,159.40

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Solution

The fourth proportional to 227,761.40, 314,310.74 and 127,159.40 is: 175,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,761.40 : 314,310.74 = 127,159.40 : x
  2. Step 2: Convert to fraction form
    227,761.40/314,310.74 = 127,159.40/x
  3. Step 3: Cross multiply
    227,761.40x = 314,310.74 × 127,159.40
  4. Step 4: Simplify right side
    227,761.40x = 39,967,565,111.96
  5. Step 5: Solve for x
    x = 39,967,565,111.96/227,761.40
  6. Step 6: Final answer
    x = 175,479.98

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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.