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Finding the Fourth Proportional to 208,146.65, 312,344.51 and 89,817.96

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Solution

The fourth proportional to 208,146.65, 312,344.51 and 89,817.96 is: 134,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,146.65 : 312,344.51 = 89,817.96 : x
  2. Step 2: Convert to fraction form
    208,146.65/312,344.51 = 89,817.96/x
  3. Step 3: Cross multiply
    208,146.65x = 312,344.51 × 89,817.96
  4. Step 4: Simplify right side
    208,146.65x = 28,054,147,427.60
  5. Step 5: Solve for x
    x = 28,054,147,427.60/208,146.65
  6. Step 6: Final answer
    x = 134,780.69

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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.