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Finding the Fourth Proportional to 201,706.30, 302,559.45 and 138,720.70

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Solution

The fourth proportional to 201,706.30, 302,559.45 and 138,720.70 is: 208,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,706.30 : 302,559.45 = 138,720.70 : x
  2. Step 2: Convert to fraction form
    201,706.30/302,559.45 = 138,720.70/x
  3. Step 3: Cross multiply
    201,706.30x = 302,559.45 × 138,720.70
  4. Step 4: Simplify right side
    201,706.30x = 41,971,258,695.62
  5. Step 5: Solve for x
    x = 41,971,258,695.62/201,706.30
  6. Step 6: Final answer
    x = 208,081.05

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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.