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Finding the Fourth Proportional to 158,718, 238,137 and 83,835.12

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Solution

The fourth proportional to 158,718, 238,137 and 83,835.12 is: 125,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,718 : 238,137 = 83,835.12 : x
  2. Step 2: Convert to fraction form
    158,718/238,137 = 83,835.12/x
  3. Step 3: Cross multiply
    158,718x = 238,137 × 83,835.12
  4. Step 4: Simplify right side
    158,718x = 19,964,243,971.44
  5. Step 5: Solve for x
    x = 19,964,243,971.44/158,718
  6. Step 6: Final answer
    x = 125,784.37

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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.