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Finding the Fourth Proportional to 158,838.03, 219,200.31 and 86,244.01

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Solution

The fourth proportional to 158,838.03, 219,200.31 and 86,244.01 is: 119,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,838.03 : 219,200.31 = 86,244.01 : x
  2. Step 2: Convert to fraction form
    158,838.03/219,200.31 = 86,244.01/x
  3. Step 3: Cross multiply
    158,838.03x = 219,200.31 × 86,244.01
  4. Step 4: Simplify right side
    158,838.03x = 18,904,713,179.64
  5. Step 5: Solve for x
    x = 18,904,713,179.64/158,838.03
  6. Step 6: Final answer
    x = 119,018.81

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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.