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Finding the Fourth Proportional to 270,135, 405,075.32 and 157,847.63

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Solution

The fourth proportional to 270,135, 405,075.32 and 157,847.63 is: 236,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,135 : 405,075.32 = 157,847.63 : x
  2. Step 2: Convert to fraction form
    270,135/405,075.32 = 157,847.63/x
  3. Step 3: Cross multiply
    270,135x = 405,075.32 × 157,847.63
  4. Step 4: Simplify right side
    270,135x = 63,940,179,233.49
  5. Step 5: Solve for x
    x = 63,940,179,233.49/270,135
  6. Step 6: Final answer
    x = 236,697.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.