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Finding the Fourth Proportional to 76,698.61, 115,075.60 and 26,786.07

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Solution

The fourth proportional to 76,698.61, 115,075.60 and 26,786.07 is: 40,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,698.61 : 115,075.60 = 26,786.07 : x
  2. Step 2: Convert to fraction form
    76,698.61/115,075.60 = 26,786.07/x
  3. Step 3: Cross multiply
    76,698.61x = 115,075.60 × 26,786.07
  4. Step 4: Simplify right side
    76,698.61x = 3,082,423,009.93
  5. Step 5: Solve for x
    x = 3,082,423,009.93/76,698.61
  6. Step 6: Final answer
    x = 40,188.77

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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.