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Finding the Fourth Proportional to 208,628.65, 312,942.98 and 103,652.65

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Solution

The fourth proportional to 208,628.65, 312,942.98 and 103,652.65 is: 155,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,628.65 : 312,942.98 = 103,652.65 : x
  2. Step 2: Convert to fraction form
    208,628.65/312,942.98 = 103,652.65/x
  3. Step 3: Cross multiply
    208,628.65x = 312,942.98 × 103,652.65
  4. Step 4: Simplify right side
    208,628.65x = 32,437,369,175.90
  5. Step 5: Solve for x
    x = 32,437,369,175.90/208,628.65
  6. Step 6: Final answer
    x = 155,478.98

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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.