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Finding the Fourth Proportional to 130,028.10, 194,714.10 and 103,784.10

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Solution

The fourth proportional to 130,028.10, 194,714.10 and 103,784.10 is: 155,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,028.10 : 194,714.10 = 103,784.10 : x
  2. Step 2: Convert to fraction form
    130,028.10/194,714.10 = 103,784.10/x
  3. Step 3: Cross multiply
    130,028.10x = 194,714.10 × 103,784.10
  4. Step 4: Simplify right side
    130,028.10x = 20,208,227,625.81
  5. Step 5: Solve for x
    x = 20,208,227,625.81/130,028.10
  6. Step 6: Final answer
    x = 155,414.31

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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.