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Finding the Fourth Proportional to 209,530.56, 314,638.88 and 137,599.68

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Solution

The fourth proportional to 209,530.56, 314,638.88 and 137,599.68 is: 206,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,530.56 : 314,638.88 = 137,599.68 : x
  2. Step 2: Convert to fraction form
    209,530.56/314,638.88 = 137,599.68/x
  3. Step 3: Cross multiply
    209,530.56x = 314,638.88 × 137,599.68
  4. Step 4: Simplify right side
    209,530.56x = 43,294,209,203.56
  5. Step 5: Solve for x
    x = 43,294,209,203.56/209,530.56
  6. Step 6: Final answer
    x = 206,624.80

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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.