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Finding the Fourth Proportional to 208,673.86, 287,969.95 and 118,027.88

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Solution

The fourth proportional to 208,673.86, 287,969.95 and 118,027.88 is: 162,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,673.86 : 287,969.95 = 118,027.88 : x
  2. Step 2: Convert to fraction form
    208,673.86/287,969.95 = 118,027.88/x
  3. Step 3: Cross multiply
    208,673.86x = 287,969.95 × 118,027.88
  4. Step 4: Simplify right side
    208,673.86x = 33,988,482,129.82
  5. Step 5: Solve for x
    x = 33,988,482,129.82/208,673.86
  6. Step 6: Final answer
    x = 162,878.48

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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.