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Finding the Fourth Proportional to 243,178.68, 335,657.16 and 141,227.22

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Solution

The fourth proportional to 243,178.68, 335,657.16 and 141,227.22 is: 194,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,178.68 : 335,657.16 = 141,227.22 : x
  2. Step 2: Convert to fraction form
    243,178.68/335,657.16 = 141,227.22/x
  3. Step 3: Cross multiply
    243,178.68x = 335,657.16 × 141,227.22
  4. Step 4: Simplify right side
    243,178.68x = 47,403,927,579.90
  5. Step 5: Solve for x
    x = 47,403,927,579.90/243,178.68
  6. Step 6: Final answer
    x = 194,934.55

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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.