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Finding the Fourth Proportional to 78,674.61, 117,927.90 and 31,224

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Solution

The fourth proportional to 78,674.61, 117,927.90 and 31,224 is: 46,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,674.61 : 117,927.90 = 31,224 : x
  2. Step 2: Convert to fraction form
    78,674.61/117,927.90 = 31,224/x
  3. Step 3: Cross multiply
    78,674.61x = 117,927.90 × 31,224
  4. Step 4: Simplify right side
    78,674.61x = 3,682,180,749.60
  5. Step 5: Solve for x
    x = 3,682,180,749.60/78,674.61
  6. Step 6: Final answer
    x = 46,802.66

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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.