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Finding the Fourth Proportional to 105,750, 145,935 and 61,038

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Solution

The fourth proportional to 105,750, 145,935 and 61,038 is: 84,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,750 : 145,935 = 61,038 : x
  2. Step 2: Convert to fraction form
    105,750/145,935 = 61,038/x
  3. Step 3: Cross multiply
    105,750x = 145,935 × 61,038
  4. Step 4: Simplify right side
    105,750x = 8,907,580,530
  5. Step 5: Solve for x
    x = 8,907,580,530/105,750
  6. Step 6: Final answer
    x = 84,232.44

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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.