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Finding the Fourth Proportional to 209,770.51, 289,485.29 and 119,128.36

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Solution

The fourth proportional to 209,770.51, 289,485.29 and 119,128.36 is: 164,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,770.51 : 289,485.29 = 119,128.36 : x
  2. Step 2: Convert to fraction form
    209,770.51/289,485.29 = 119,128.36/x
  3. Step 3: Cross multiply
    209,770.51x = 289,485.29 × 119,128.36
  4. Step 4: Simplify right side
    209,770.51x = 34,485,905,798.76
  5. Step 5: Solve for x
    x = 34,485,905,798.76/209,770.51
  6. Step 6: Final answer
    x = 164,398.26

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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.