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Finding the Fourth Proportional to 243,216, 335,638.08 and 137,232

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Solution

The fourth proportional to 243,216, 335,638.08 and 137,232 is: 189,380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,216 : 335,638.08 = 137,232 : x
  2. Step 2: Convert to fraction form
    243,216/335,638.08 = 137,232/x
  3. Step 3: Cross multiply
    243,216x = 335,638.08 × 137,232
  4. Step 4: Simplify right side
    243,216x = 46,060,284,994.56
  5. Step 5: Solve for x
    x = 46,060,284,994.56/243,216
  6. Step 6: Final answer
    x = 189,380.16

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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.