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Finding the Fourth Proportional to 292,069.80, 438,075.54 and 81,709.56

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Solution

The fourth proportional to 292,069.80, 438,075.54 and 81,709.56 is: 122,556.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,069.80 : 438,075.54 = 81,709.56 : x
  2. Step 2: Convert to fraction form
    292,069.80/438,075.54 = 81,709.56/x
  3. Step 3: Cross multiply
    292,069.80x = 438,075.54 × 81,709.56
  4. Step 4: Simplify right side
    292,069.80x = 35,794,959,620.16
  5. Step 5: Solve for x
    x = 35,794,959,620.16/292,069.80
  6. Step 6: Final answer
    x = 122,556.18

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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.