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Finding the Fourth Proportional to 208,705.68, 287,992.26 and 118,071.54

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Solution

The fourth proportional to 208,705.68, 287,992.26 and 118,071.54 is: 162,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,705.68 : 287,992.26 = 118,071.54 : x
  2. Step 2: Convert to fraction form
    208,705.68/287,992.26 = 118,071.54/x
  3. Step 3: Cross multiply
    208,705.68x = 287,992.26 × 118,071.54
  4. Step 4: Simplify right side
    208,705.68x = 34,003,689,646.28
  5. Step 5: Solve for x
    x = 34,003,689,646.28/208,705.68
  6. Step 6: Final answer
    x = 162,926.52

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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.