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Finding the Fourth Proportional to 209,250, 314,013.24 and 98,450.64

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Solution

The fourth proportional to 209,250, 314,013.24 and 98,450.64 is: 147,741.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,250 : 314,013.24 = 98,450.64 : x
  2. Step 2: Convert to fraction form
    209,250/314,013.24 = 98,450.64/x
  3. Step 3: Cross multiply
    209,250x = 314,013.24 × 98,450.64
  4. Step 4: Simplify right side
    209,250x = 30,914,804,446.47
  5. Step 5: Solve for x
    x = 30,914,804,446.47/209,250
  6. Step 6: Final answer
    x = 147,741.00

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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.