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Finding the Fourth Proportional to 218,442.75, 301,295.71 and 145,809.02

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Solution

The fourth proportional to 218,442.75, 301,295.71 and 145,809.02 is: 201,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,442.75 : 301,295.71 = 145,809.02 : x
  2. Step 2: Convert to fraction form
    218,442.75/301,295.71 = 145,809.02/x
  3. Step 3: Cross multiply
    218,442.75x = 301,295.71 × 145,809.02
  4. Step 4: Simplify right side
    218,442.75x = 43,931,632,958.54
  5. Step 5: Solve for x
    x = 43,931,632,958.54/218,442.75
  6. Step 6: Final answer
    x = 201,112.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.