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Finding the Fourth Proportional to 231,075, 345,611.88 and 136,078.74

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Solution

The fourth proportional to 231,075, 345,611.88 and 136,078.74 is: 203,528.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,075 : 345,611.88 = 136,078.74 : x
  2. Step 2: Convert to fraction form
    231,075/345,611.88 = 136,078.74/x
  3. Step 3: Cross multiply
    231,075x = 345,611.88 × 136,078.74
  4. Step 4: Simplify right side
    231,075x = 47,030,429,159.43
  5. Step 5: Solve for x
    x = 47,030,429,159.43/231,075
  6. Step 6: Final answer
    x = 203,528.85

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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.