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Finding the Fourth Proportional to 214,075.80, 320,768.10 and 135,048.60

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Solution

The fourth proportional to 214,075.80, 320,768.10 and 135,048.60 is: 202,354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,075.80 : 320,768.10 = 135,048.60 : x
  2. Step 2: Convert to fraction form
    214,075.80/320,768.10 = 135,048.60/x
  3. Step 3: Cross multiply
    214,075.80x = 320,768.10 × 135,048.60
  4. Step 4: Simplify right side
    214,075.80x = 43,319,282,829.66
  5. Step 5: Solve for x
    x = 43,319,282,829.66/214,075.80
  6. Step 6: Final answer
    x = 202,354.88

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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.