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Finding the Fourth Proportional to 201,554.60, 302,040.30 and 89,142.80

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Solution

The fourth proportional to 201,554.60, 302,040.30 and 89,142.80 is: 133,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,554.60 : 302,040.30 = 89,142.80 : x
  2. Step 2: Convert to fraction form
    201,554.60/302,040.30 = 89,142.80/x
  3. Step 3: Cross multiply
    201,554.60x = 302,040.30 × 89,142.80
  4. Step 4: Simplify right side
    201,554.60x = 26,924,718,054.84
  5. Step 5: Solve for x
    x = 26,924,718,054.84/201,554.60
  6. Step 6: Final answer
    x = 133,585.23

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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.