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Finding the Fourth Proportional to 77,798.50, 116,671.75 and 30,401.35

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Solution

The fourth proportional to 77,798.50, 116,671.75 and 30,401.35 is: 45,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,798.50 : 116,671.75 = 30,401.35 : x
  2. Step 2: Convert to fraction form
    77,798.50/116,671.75 = 30,401.35/x
  3. Step 3: Cross multiply
    77,798.50x = 116,671.75 × 30,401.35
  4. Step 4: Simplify right side
    77,798.50x = 3,546,978,339.18
  5. Step 5: Solve for x
    x = 3,546,978,339.18/77,798.50
  6. Step 6: Final answer
    x = 45,591.86

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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.