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Finding the Fourth Proportional to 222,978.08, 334,560.83 and 138,808.65

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Solution

The fourth proportional to 222,978.08, 334,560.83 and 138,808.65 is: 208,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,978.08 : 334,560.83 = 138,808.65 : x
  2. Step 2: Convert to fraction form
    222,978.08/334,560.83 = 138,808.65/x
  3. Step 3: Cross multiply
    222,978.08x = 334,560.83 × 138,808.65
  4. Step 4: Simplify right side
    222,978.08x = 46,439,937,155.18
  5. Step 5: Solve for x
    x = 46,439,937,155.18/222,978.08
  6. Step 6: Final answer
    x = 208,271.31

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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.