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Finding the Fourth Proportional to 205,250.80, 307,357.80 and 134,748.40

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Solution

The fourth proportional to 205,250.80, 307,357.80 and 134,748.40 is: 201,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,250.80 : 307,357.80 = 134,748.40 : x
  2. Step 2: Convert to fraction form
    205,250.80/307,357.80 = 134,748.40/x
  3. Step 3: Cross multiply
    205,250.80x = 307,357.80 × 134,748.40
  4. Step 4: Simplify right side
    205,250.80x = 41,415,971,777.52
  5. Step 5: Solve for x
    x = 41,415,971,777.52/205,250.80
  6. Step 6: Final answer
    x = 201,782.27

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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.