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Finding the Fourth Proportional to 208,617.49, 312,950.67 and 66,412.95

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Solution

The fourth proportional to 208,617.49, 312,950.67 and 66,412.95 is: 99,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,617.49 : 312,950.67 = 66,412.95 : x
  2. Step 2: Convert to fraction form
    208,617.49/312,950.67 = 66,412.95/x
  3. Step 3: Cross multiply
    208,617.49x = 312,950.67 × 66,412.95
  4. Step 4: Simplify right side
    208,617.49x = 20,783,977,199.18
  5. Step 5: Solve for x
    x = 20,783,977,199.18/208,617.49
  6. Step 6: Final answer
    x = 99,627.20

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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.