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Finding the Fourth Proportional to 154,971, 213,778.26 and 127,955.88

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Solution

The fourth proportional to 154,971, 213,778.26 and 127,955.88 is: 176,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,971 : 213,778.26 = 127,955.88 : x
  2. Step 2: Convert to fraction form
    154,971/213,778.26 = 127,955.88/x
  3. Step 3: Cross multiply
    154,971x = 213,778.26 × 127,955.88
  4. Step 4: Simplify right side
    154,971x = 27,354,185,383.17
  5. Step 5: Solve for x
    x = 27,354,185,383.17/154,971
  6. Step 6: Final answer
    x = 176,511.64

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1.5x scale

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.