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Finding the Fourth Proportional to 105,753, 145,939.14 and 61,041

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Solution

The fourth proportional to 105,753, 145,939.14 and 61,041 is: 84,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,753 : 145,939.14 = 61,041 : x
  2. Step 2: Convert to fraction form
    105,753/145,939.14 = 61,041/x
  3. Step 3: Cross multiply
    105,753x = 145,939.14 × 61,041
  4. Step 4: Simplify right side
    105,753x = 8,908,271,044.74
  5. Step 5: Solve for x
    x = 8,908,271,044.74/105,753
  6. Step 6: Final answer
    x = 84,236.58

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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.