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Finding the Fourth Proportional to 201,811.80, 302,948.10 and 118,752.60

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Solution

The fourth proportional to 201,811.80, 302,948.10 and 118,752.60 is: 178,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,811.80 : 302,948.10 = 118,752.60 : x
  2. Step 2: Convert to fraction form
    201,811.80/302,948.10 = 118,752.60/x
  3. Step 3: Cross multiply
    201,811.80x = 302,948.10 × 118,752.60
  4. Step 4: Simplify right side
    201,811.80x = 35,975,874,540.06
  5. Step 5: Solve for x
    x = 35,975,874,540.06/201,811.80
  6. Step 6: Final answer
    x = 178,264.47

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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.