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Finding the Fourth Proportional to 209,969.98, 289,746.08 and 119,313.36

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Solution

The fourth proportional to 209,969.98, 289,746.08 and 119,313.36 is: 164,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969.98 : 289,746.08 = 119,313.36 : x
  2. Step 2: Convert to fraction form
    209,969.98/289,746.08 = 119,313.36/x
  3. Step 3: Cross multiply
    209,969.98x = 289,746.08 × 119,313.36
  4. Step 4: Simplify right side
    209,969.98x = 34,570,577,755.06
  5. Step 5: Solve for x
    x = 34,570,577,755.06/209,969.98
  6. Step 6: Final answer
    x = 164,645.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.