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Finding the Fourth Proportional to 101,197, 139,651.94 and 56,485

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Solution

The fourth proportional to 101,197, 139,651.94 and 56,485 is: 77,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,197 : 139,651.94 = 56,485 : x
  2. Step 2: Convert to fraction form
    101,197/139,651.94 = 56,485/x
  3. Step 3: Cross multiply
    101,197x = 139,651.94 × 56,485
  4. Step 4: Simplify right side
    101,197x = 7,888,239,830.90
  5. Step 5: Solve for x
    x = 7,888,239,830.90/101,197
  6. Step 6: Final answer
    x = 77,949.34

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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.