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Finding the Fourth Proportional to 243,362.16, 335,919.96 and 142,758

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Solution

The fourth proportional to 243,362.16, 335,919.96 and 142,758 is: 197,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,362.16 : 335,919.96 = 142,758 : x
  2. Step 2: Convert to fraction form
    243,362.16/335,919.96 = 142,758/x
  3. Step 3: Cross multiply
    243,362.16x = 335,919.96 × 142,758
  4. Step 4: Simplify right side
    243,362.16x = 47,955,261,649.68
  5. Step 5: Solve for x
    x = 47,955,261,649.68/243,362.16
  6. Step 6: Final answer
    x = 197,053.07

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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.