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Finding the Fourth Proportional to 205,303.20, 307,954.80 and 55,566.60

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Solution

The fourth proportional to 205,303.20, 307,954.80 and 55,566.60 is: 83,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,303.20 : 307,954.80 = 55,566.60 : x
  2. Step 2: Convert to fraction form
    205,303.20/307,954.80 = 55,566.60/x
  3. Step 3: Cross multiply
    205,303.20x = 307,954.80 × 55,566.60
  4. Step 4: Simplify right side
    205,303.20x = 17,112,001,189.68
  5. Step 5: Solve for x
    x = 17,112,001,189.68/205,303.20
  6. Step 6: Final answer
    x = 83,349.90

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1.5x scale

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.