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Finding the Fourth Proportional to 205,075.70, 307,941.60 and 155,212.10

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Solution

The fourth proportional to 205,075.70, 307,941.60 and 155,212.10 is: 233,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,075.70 : 307,941.60 = 155,212.10 : x
  2. Step 2: Convert to fraction form
    205,075.70/307,941.60 = 155,212.10/x
  3. Step 3: Cross multiply
    205,075.70x = 307,941.60 × 155,212.10
  4. Step 4: Simplify right side
    205,075.70x = 47,796,262,413.36
  5. Step 5: Solve for x
    x = 47,796,262,413.36/205,075.70
  6. Step 6: Final answer
    x = 233,066.44

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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.