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Finding the Fourth Proportional to 77,315.74, 115,986.21 and 27,385.01

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Solution

The fourth proportional to 77,315.74, 115,986.21 and 27,385.01 is: 41,081.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,315.74 : 115,986.21 = 27,385.01 : x
  2. Step 2: Convert to fraction form
    77,315.74/115,986.21 = 27,385.01/x
  3. Step 3: Cross multiply
    77,315.74x = 115,986.21 × 27,385.01
  4. Step 4: Simplify right side
    77,315.74x = 3,176,283,520.71
  5. Step 5: Solve for x
    x = 3,176,283,520.71/77,315.74
  6. Step 6: Final answer
    x = 41,081.98

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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.