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Finding the Fourth Proportional to 209,523.85, 314,284.05 and 138,763.16

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Solution

The fourth proportional to 209,523.85, 314,284.05 and 138,763.16 is: 208,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,523.85 : 314,284.05 = 138,763.16 : x
  2. Step 2: Convert to fraction form
    209,523.85/314,284.05 = 138,763.16/x
  3. Step 3: Cross multiply
    209,523.85x = 314,284.05 × 138,763.16
  4. Step 4: Simplify right side
    209,523.85x = 43,611,047,915.60
  5. Step 5: Solve for x
    x = 43,611,047,915.60/209,523.85
  6. Step 6: Final answer
    x = 208,143.60

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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.