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Finding the Fourth Proportional to 208,674.74, 287,971.16 and 118,028.76

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Solution

The fourth proportional to 208,674.74, 287,971.16 and 118,028.76 is: 162,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,674.74 : 287,971.16 = 118,028.76 : x
  2. Step 2: Convert to fraction form
    208,674.74/287,971.16 = 118,028.76/x
  3. Step 3: Cross multiply
    208,674.74x = 287,971.16 × 118,028.76
  4. Step 4: Simplify right side
    208,674.74x = 33,988,877,260.53
  5. Step 5: Solve for x
    x = 33,988,877,260.53/208,674.74
  6. Step 6: Final answer
    x = 162,879.69

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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.