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Finding the Fourth Proportional to 78,618.70, 117,931.70 and 22,466.87

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Solution

The fourth proportional to 78,618.70, 117,931.70 and 22,466.87 is: 33,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,618.70 : 117,931.70 = 22,466.87 : x
  2. Step 2: Convert to fraction form
    78,618.70/117,931.70 = 22,466.87/x
  3. Step 3: Cross multiply
    78,618.70x = 117,931.70 × 22,466.87
  4. Step 4: Simplify right side
    78,618.70x = 2,649,555,955.16
  5. Step 5: Solve for x
    x = 2,649,555,955.16/78,618.70
  6. Step 6: Final answer
    x = 33,701.34

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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.