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Finding the Fourth Proportional to 205,289.40, 307,703.70 and 86,940.60

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Solution

The fourth proportional to 205,289.40, 307,703.70 and 86,940.60 is: 130,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,289.40 : 307,703.70 = 86,940.60 : x
  2. Step 2: Convert to fraction form
    205,289.40/307,703.70 = 86,940.60/x
  3. Step 3: Cross multiply
    205,289.40x = 307,703.70 × 86,940.60
  4. Step 4: Simplify right side
    205,289.40x = 26,751,944,300.22
  5. Step 5: Solve for x
    x = 26,751,944,300.22/205,289.40
  6. Step 6: Final answer
    x = 130,313.32

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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.