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Finding the Fourth Proportional to 97,660, 134,767.06 and 55,219.42

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Solution

The fourth proportional to 97,660, 134,767.06 and 55,219.42 is: 76,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,660 : 134,767.06 = 55,219.42 : x
  2. Step 2: Convert to fraction form
    97,660/134,767.06 = 55,219.42/x
  3. Step 3: Cross multiply
    97,660x = 134,767.06 × 55,219.42
  4. Step 4: Simplify right side
    97,660x = 7,441,758,888.31
  5. Step 5: Solve for x
    x = 7,441,758,888.31/97,660
  6. Step 6: Final answer
    x = 76,200.68

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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.