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Finding the Fourth Proportional to 201,071.80, 301,838.10 and 118,012.60

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Solution

The fourth proportional to 201,071.80, 301,838.10 and 118,012.60 is: 177,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,071.80 : 301,838.10 = 118,012.60 : x
  2. Step 2: Convert to fraction form
    201,071.80/301,838.10 = 118,012.60/x
  3. Step 3: Cross multiply
    201,071.80x = 301,838.10 × 118,012.60
  4. Step 4: Simplify right side
    201,071.80x = 35,620,698,960.06
  5. Step 5: Solve for x
    x = 35,620,698,960.06/201,071.80
  6. Step 6: Final answer
    x = 177,154.13

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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.