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Finding the Fourth Proportional to 243,400.61, 335,911.03 and 140,066.48

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Solution

The fourth proportional to 243,400.61, 335,911.03 and 140,066.48 is: 193,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,400.61 : 335,911.03 = 140,066.48 : x
  2. Step 2: Convert to fraction form
    243,400.61/335,911.03 = 140,066.48/x
  3. Step 3: Cross multiply
    243,400.61x = 335,911.03 × 140,066.48
  4. Step 4: Simplify right side
    243,400.61x = 47,049,876,054.89
  5. Step 5: Solve for x
    x = 47,049,876,054.89/243,400.61
  6. Step 6: Final answer
    x = 193,302.21

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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.