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Finding the Fourth Proportional to 223,021.60, 334,078.80 and 138,522.40

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Solution

The fourth proportional to 223,021.60, 334,078.80 and 138,522.40 is: 207,501.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,021.60 : 334,078.80 = 138,522.40 : x
  2. Step 2: Convert to fraction form
    223,021.60/334,078.80 = 138,522.40/x
  3. Step 3: Cross multiply
    223,021.60x = 334,078.80 × 138,522.40
  4. Step 4: Simplify right side
    223,021.60x = 46,277,397,165.12
  5. Step 5: Solve for x
    x = 46,277,397,165.12/223,021.60
  6. Step 6: Final answer
    x = 207,501.86

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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.