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Finding the Fourth Proportional to 169,643.52, 254,426.40 and 76,176

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Solution

The fourth proportional to 169,643.52, 254,426.40 and 76,176 is: 114,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,643.52 : 254,426.40 = 76,176 : x
  2. Step 2: Convert to fraction form
    169,643.52/254,426.40 = 76,176/x
  3. Step 3: Cross multiply
    169,643.52x = 254,426.40 × 76,176
  4. Step 4: Simplify right side
    169,643.52x = 19,381,185,446.40
  5. Step 5: Solve for x
    x = 19,381,185,446.40/169,643.52
  6. Step 6: Final answer
    x = 114,246.54

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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.