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Finding the Fourth Proportional to 208,359.18, 287,518.59 and 117,723

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Solution

The fourth proportional to 208,359.18, 287,518.59 and 117,723 is: 162,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,359.18 : 287,518.59 = 117,723 : x
  2. Step 2: Convert to fraction form
    208,359.18/287,518.59 = 117,723/x
  3. Step 3: Cross multiply
    208,359.18x = 287,518.59 × 117,723
  4. Step 4: Simplify right side
    208,359.18x = 33,847,550,970.57
  5. Step 5: Solve for x
    x = 33,847,550,970.57/208,359.18
  6. Step 6: Final answer
    x = 162,448.09

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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.