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Finding the Fourth Proportional to 139,098.34, 208,647.51 and 65,209.06

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Solution

The fourth proportional to 139,098.34, 208,647.51 and 65,209.06 is: 97,813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,098.34 : 208,647.51 = 65,209.06 : x
  2. Step 2: Convert to fraction form
    139,098.34/208,647.51 = 65,209.06/x
  3. Step 3: Cross multiply
    139,098.34x = 208,647.51 × 65,209.06
  4. Step 4: Simplify right side
    139,098.34x = 13,605,707,998.44
  5. Step 5: Solve for x
    x = 13,605,707,998.44/139,098.34
  6. Step 6: Final answer
    x = 97,813.59

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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.