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Finding the Fourth Proportional to 209,742.82, 314,440.08 and 83,305.06

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Solution

The fourth proportional to 209,742.82, 314,440.08 and 83,305.06 is: 124,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,742.82 : 314,440.08 = 83,305.06 : x
  2. Step 2: Convert to fraction form
    209,742.82/314,440.08 = 83,305.06/x
  3. Step 3: Cross multiply
    209,742.82x = 314,440.08 × 83,305.06
  4. Step 4: Simplify right side
    209,742.82x = 26,194,449,730.80
  5. Step 5: Solve for x
    x = 26,194,449,730.80/209,742.82
  6. Step 6: Final answer
    x = 124,888.42

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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.