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Finding the Fourth Proportional to 145,729.51, 218,505.22 and 69,851.27

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Solution

The fourth proportional to 145,729.51, 218,505.22 and 69,851.27 is: 104,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,729.51 : 218,505.22 = 69,851.27 : x
  2. Step 2: Convert to fraction form
    145,729.51/218,505.22 = 69,851.27/x
  3. Step 3: Cross multiply
    145,729.51x = 218,505.22 × 69,851.27
  4. Step 4: Simplify right side
    145,729.51x = 15,262,865,676.85
  5. Step 5: Solve for x
    x = 15,262,865,676.85/145,729.51
  6. Step 6: Final answer
    x = 104,734.21

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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.