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Finding the Fourth Proportional to 142,388.64, 213,477.50 and 86,215.54

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Solution

The fourth proportional to 142,388.64, 213,477.50 and 86,215.54 is: 129,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,388.64 : 213,477.50 = 86,215.54 : x
  2. Step 2: Convert to fraction form
    142,388.64/213,477.50 = 86,215.54/x
  3. Step 3: Cross multiply
    142,388.64x = 213,477.50 × 86,215.54
  4. Step 4: Simplify right side
    142,388.64x = 18,405,077,940.35
  5. Step 5: Solve for x
    x = 18,405,077,940.35/142,388.64
  6. Step 6: Final answer
    x = 129,259.46

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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.