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Finding the Fourth Proportional to 223,201.48, 334,909.35 and 138,939.64

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Solution

The fourth proportional to 223,201.48, 334,909.35 and 138,939.64 is: 208,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,201.48 : 334,909.35 = 138,939.64 : x
  2. Step 2: Convert to fraction form
    223,201.48/334,909.35 = 138,939.64/x
  3. Step 3: Cross multiply
    223,201.48x = 334,909.35 × 138,939.64
  4. Step 4: Simplify right side
    223,201.48x = 46,532,184,521.63
  5. Step 5: Solve for x
    x = 46,532,184,521.63/223,201.48
  6. Step 6: Final answer
    x = 208,476.15

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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.