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Finding the Fourth Proportional to 105,764, 145,954.32 and 61,052

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Solution

The fourth proportional to 105,764, 145,954.32 and 61,052 is: 84,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,764 : 145,954.32 = 61,052 : x
  2. Step 2: Convert to fraction form
    105,764/145,954.32 = 61,052/x
  3. Step 3: Cross multiply
    105,764x = 145,954.32 × 61,052
  4. Step 4: Simplify right side
    105,764x = 8,910,803,144.64
  5. Step 5: Solve for x
    x = 8,910,803,144.64/105,764
  6. Step 6: Final answer
    x = 84,251.76

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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.