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Finding the Fourth Proportional to 242,485.08, 334,638.72 and 140,514

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Solution

The fourth proportional to 242,485.08, 334,638.72 and 140,514 is: 193,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,485.08 : 334,638.72 = 140,514 : x
  2. Step 2: Convert to fraction form
    242,485.08/334,638.72 = 140,514/x
  3. Step 3: Cross multiply
    242,485.08x = 334,638.72 × 140,514
  4. Step 4: Simplify right side
    242,485.08x = 47,021,425,102.08
  5. Step 5: Solve for x
    x = 47,021,425,102.08/242,485.08
  6. Step 6: Final answer
    x = 193,914.71

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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.