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Finding the Fourth Proportional to 205,390.80, 307,567.80 and 134,888.40

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Solution

The fourth proportional to 205,390.80, 307,567.80 and 134,888.40 is: 201,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,390.80 : 307,567.80 = 134,888.40 : x
  2. Step 2: Convert to fraction form
    205,390.80/307,567.80 = 134,888.40/x
  3. Step 3: Cross multiply
    205,390.80x = 307,567.80 × 134,888.40
  4. Step 4: Simplify right side
    205,390.80x = 41,487,328,433.52
  5. Step 5: Solve for x
    x = 41,487,328,433.52/205,390.80
  6. Step 6: Final answer
    x = 201,992.15

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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.