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Finding the Fourth Proportional to 208,669.56, 287,970.50 and 118,023.75

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Solution

The fourth proportional to 208,669.56, 287,970.50 and 118,023.75 is: 162,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,669.56 : 287,970.50 = 118,023.75 : x
  2. Step 2: Convert to fraction form
    208,669.56/287,970.50 = 118,023.75/x
  3. Step 3: Cross multiply
    208,669.56x = 287,970.50 × 118,023.75
  4. Step 4: Simplify right side
    208,669.56x = 33,987,358,299.38
  5. Step 5: Solve for x
    x = 33,987,358,299.38/208,669.56
  6. Step 6: Final answer
    x = 162,876.46

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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.