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Finding the Fourth Proportional to 209,506.74, 289,125.86 and 118,866.52

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Solution

The fourth proportional to 209,506.74, 289,125.86 and 118,866.52 is: 164,039.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,506.74 : 289,125.86 = 118,866.52 : x
  2. Step 2: Convert to fraction form
    209,506.74/289,125.86 = 118,866.52/x
  3. Step 3: Cross multiply
    209,506.74x = 289,125.86 × 118,866.52
  4. Step 4: Simplify right side
    209,506.74x = 34,367,384,587.28
  5. Step 5: Solve for x
    x = 34,367,384,587.28/209,506.74
  6. Step 6: Final answer
    x = 164,039.52

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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.