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Finding the Fourth Proportional to 205,152, 283,075.56 and 137,059.80

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Solution

The fourth proportional to 205,152, 283,075.56 and 137,059.80 is: 189,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,152 : 283,075.56 = 137,059.80 : x
  2. Step 2: Convert to fraction form
    205,152/283,075.56 = 137,059.80/x
  3. Step 3: Cross multiply
    205,152x = 283,075.56 × 137,059.80
  4. Step 4: Simplify right side
    205,152x = 38,798,279,638.49
  5. Step 5: Solve for x
    x = 38,798,279,638.49/205,152
  6. Step 6: Final answer
    x = 189,119.68

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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.