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Finding the Fourth Proportional to 101,115.70, 139,514.81 and 61,814.77

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Solution

The fourth proportional to 101,115.70, 139,514.81 and 61,814.77 is: 85,289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,115.70 : 139,514.81 = 61,814.77 : x
  2. Step 2: Convert to fraction form
    101,115.70/139,514.81 = 61,814.77/x
  3. Step 3: Cross multiply
    101,115.70x = 139,514.81 × 61,814.77
  4. Step 4: Simplify right side
    101,115.70x = 8,624,075,233.88
  5. Step 5: Solve for x
    x = 8,624,075,233.88/101,115.70
  6. Step 6: Final answer
    x = 85,289.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.