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Finding the Fourth Proportional to 143,691, 196,857.62 and 138,303.84

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Solution

The fourth proportional to 143,691, 196,857.62 and 138,303.84 is: 189,477.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,691 : 196,857.62 = 138,303.84 : x
  2. Step 2: Convert to fraction form
    143,691/196,857.62 = 138,303.84/x
  3. Step 3: Cross multiply
    143,691x = 196,857.62 × 138,303.84
  4. Step 4: Simplify right side
    143,691x = 27,226,164,779.26
  5. Step 5: Solve for x
    x = 27,226,164,779.26/143,691
  6. Step 6: Final answer
    x = 189,477.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.