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Finding the Fourth Proportional to 201,611.80, 302,405.54 and 89,259.16

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Solution

The fourth proportional to 201,611.80, 302,405.54 and 89,259.16 is: 133,883.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,611.80 : 302,405.54 = 89,259.16 : x
  2. Step 2: Convert to fraction form
    201,611.80/302,405.54 = 89,259.16/x
  3. Step 3: Cross multiply
    201,611.80x = 302,405.54 × 89,259.16
  4. Step 4: Simplify right side
    201,611.80x = 26,992,464,479.75
  5. Step 5: Solve for x
    x = 26,992,464,479.75/201,611.80
  6. Step 6: Final answer
    x = 133,883.36

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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.