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Finding the Fourth Proportional to 146,337, 219,225.02 and 86,993

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Solution

The fourth proportional to 146,337, 219,225.02 and 86,993 is: 130,322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,337 : 219,225.02 = 86,993 : x
  2. Step 2: Convert to fraction form
    146,337/219,225.02 = 86,993/x
  3. Step 3: Cross multiply
    146,337x = 219,225.02 × 86,993
  4. Step 4: Simplify right side
    146,337x = 19,071,042,164.86
  5. Step 5: Solve for x
    x = 19,071,042,164.86/146,337
  6. Step 6: Final answer
    x = 130,322.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.