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Finding the Fourth Proportional to 102,700, 154,075.96 and 28,828

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Solution

The fourth proportional to 102,700, 154,075.96 and 28,828 is: 43,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,700 : 154,075.96 = 28,828 : x
  2. Step 2: Convert to fraction form
    102,700/154,075.96 = 28,828/x
  3. Step 3: Cross multiply
    102,700x = 154,075.96 × 28,828
  4. Step 4: Simplify right side
    102,700x = 4,441,701,774.88
  5. Step 5: Solve for x
    x = 4,441,701,774.88/102,700
  6. Step 6: Final answer
    x = 43,249.29

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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.