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Finding the Fourth Proportional to 78,461.98, 117,717.56 and 25,908.37

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Solution

The fourth proportional to 78,461.98, 117,717.56 and 25,908.37 is: 38,870.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,461.98 : 117,717.56 = 25,908.37 : x
  2. Step 2: Convert to fraction form
    78,461.98/117,717.56 = 25,908.37/x
  3. Step 3: Cross multiply
    78,461.98x = 117,717.56 × 25,908.37
  4. Step 4: Simplify right side
    78,461.98x = 3,049,869,381.85
  5. Step 5: Solve for x
    x = 3,049,869,381.85/78,461.98
  6. Step 6: Final answer
    x = 38,870.67

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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.