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Finding the Fourth Proportional to 169,955.10, 254,932.65 and 76,643.10

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Solution

The fourth proportional to 169,955.10, 254,932.65 and 76,643.10 is: 114,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,955.10 : 254,932.65 = 76,643.10 : x
  2. Step 2: Convert to fraction form
    169,955.10/254,932.65 = 76,643.10/x
  3. Step 3: Cross multiply
    169,955.10x = 254,932.65 × 76,643.10
  4. Step 4: Simplify right side
    169,955.10x = 19,538,828,587.22
  5. Step 5: Solve for x
    x = 19,538,828,587.22/169,955.10
  6. Step 6: Final answer
    x = 114,964.65

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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.