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Finding the Fourth Proportional to 146,178, 219,274.20 and 47,682

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Solution

The fourth proportional to 146,178, 219,274.20 and 47,682 is: 71,525.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,178 : 219,274.20 = 47,682 : x
  2. Step 2: Convert to fraction form
    146,178/219,274.20 = 47,682/x
  3. Step 3: Cross multiply
    146,178x = 219,274.20 × 47,682
  4. Step 4: Simplify right side
    146,178x = 10,455,432,404.40
  5. Step 5: Solve for x
    x = 10,455,432,404.40/146,178
  6. Step 6: Final answer
    x = 71,525.35

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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.