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Finding the Fourth Proportional to 209,770.02, 289,484.61 and 119,127.87

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Solution

The fourth proportional to 209,770.02, 289,484.61 and 119,127.87 is: 164,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,770.02 : 289,484.61 = 119,127.87 : x
  2. Step 2: Convert to fraction form
    209,770.02/289,484.61 = 119,127.87/x
  3. Step 3: Cross multiply
    209,770.02x = 289,484.61 × 119,127.87
  4. Step 4: Simplify right side
    209,770.02x = 34,485,684,987.08
  5. Step 5: Solve for x
    x = 34,485,684,987.08/209,770.02
  6. Step 6: Final answer
    x = 164,397.59

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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.