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Finding the Fourth Proportional to 105,888, 146,125.44 and 61,176

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Solution

The fourth proportional to 105,888, 146,125.44 and 61,176 is: 84,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,888 : 146,125.44 = 61,176 : x
  2. Step 2: Convert to fraction form
    105,888/146,125.44 = 61,176/x
  3. Step 3: Cross multiply
    105,888x = 146,125.44 × 61,176
  4. Step 4: Simplify right side
    105,888x = 8,939,369,917.44
  5. Step 5: Solve for x
    x = 8,939,369,917.44/105,888
  6. Step 6: Final answer
    x = 84,422.88

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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.