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Finding the Fourth Proportional to 208,533.69, 287,788.92 and 117,898.11

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Solution

The fourth proportional to 208,533.69, 287,788.92 and 117,898.11 is: 162,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,533.69 : 287,788.92 = 117,898.11 : x
  2. Step 2: Convert to fraction form
    208,533.69/287,788.92 = 117,898.11/x
  3. Step 3: Cross multiply
    208,533.69x = 287,788.92 × 117,898.11
  4. Step 4: Simplify right side
    208,533.69x = 33,929,769,746.94
  5. Step 5: Solve for x
    x = 33,929,769,746.94/208,533.69
  6. Step 6: Final answer
    x = 162,706.42

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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.