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Finding the Fourth Proportional to 205,392.80, 307,570.80 and 134,890.40

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Solution

The fourth proportional to 205,392.80, 307,570.80 and 134,890.40 is: 201,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,392.80 : 307,570.80 = 134,890.40 : x
  2. Step 2: Convert to fraction form
    205,392.80/307,570.80 = 134,890.40/x
  3. Step 3: Cross multiply
    205,392.80x = 307,570.80 × 134,890.40
  4. Step 4: Simplify right side
    205,392.80x = 41,488,348,240.32
  5. Step 5: Solve for x
    x = 41,488,348,240.32/205,392.80
  6. Step 6: Final answer
    x = 201,995.14

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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.