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Finding the Fourth Proportional to 86,907.20, 122,020 and 86,907.20

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Solution

The fourth proportional to 86,907.20, 122,020 and 86,907.20 is: 122,020

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,907.20 : 122,020 = 86,907.20 : x
  2. Step 2: Convert to fraction form
    86,907.20/122,020 = 86,907.20/x
  3. Step 3: Cross multiply
    86,907.20x = 122,020 × 86,907.20
  4. Step 4: Simplify right side
    86,907.20x = 10,604,416,544
  5. Step 5: Solve for x
    x = 10,604,416,544/86,907.20
  6. Step 6: Final answer
    x = 122,020

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.