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Finding the Fourth Proportional to 105,750, 145,940.76 and 61,052.40

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Solution

The fourth proportional to 105,750, 145,940.76 and 61,052.40 is: 84,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,750 : 145,940.76 = 61,052.40 : x
  2. Step 2: Convert to fraction form
    105,750/145,940.76 = 61,052.40/x
  3. Step 3: Cross multiply
    105,750x = 145,940.76 × 61,052.40
  4. Step 4: Simplify right side
    105,750x = 8,910,033,655.82
  5. Step 5: Solve for x
    x = 8,910,033,655.82/105,750
  6. Step 6: Final answer
    x = 84,255.64

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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.