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Finding the Fourth Proportional to 222,985.64, 307,779.18 and 138,054.44

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Solution

The fourth proportional to 222,985.64, 307,779.18 and 138,054.44 is: 190,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,985.64 : 307,779.18 = 138,054.44 : x
  2. Step 2: Convert to fraction form
    222,985.64/307,779.18 = 138,054.44/x
  3. Step 3: Cross multiply
    222,985.64x = 307,779.18 × 138,054.44
  4. Step 4: Simplify right side
    222,985.64x = 42,490,282,338.56
  5. Step 5: Solve for x
    x = 42,490,282,338.56/222,985.64
  6. Step 6: Final answer
    x = 190,551.65

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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.