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Finding the Fourth Proportional to 208,530.58, 312,817.74 and 68,300.14

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Solution

The fourth proportional to 208,530.58, 312,817.74 and 68,300.14 is: 102,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,530.58 : 312,817.74 = 68,300.14 : x
  2. Step 2: Convert to fraction form
    208,530.58/312,817.74 = 68,300.14/x
  3. Step 3: Cross multiply
    208,530.58x = 312,817.74 × 68,300.14
  4. Step 4: Simplify right side
    208,530.58x = 21,365,495,436.48
  5. Step 5: Solve for x
    x = 21,365,495,436.48/208,530.58
  6. Step 6: Final answer
    x = 102,457.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.