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Finding the Fourth Proportional to 102,679.60, 154,017.24 and 47,275.60

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Solution

The fourth proportional to 102,679.60, 154,017.24 and 47,275.60 is: 70,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,679.60 : 154,017.24 = 47,275.60 : x
  2. Step 2: Convert to fraction form
    102,679.60/154,017.24 = 47,275.60/x
  3. Step 3: Cross multiply
    102,679.60x = 154,017.24 × 47,275.60
  4. Step 4: Simplify right side
    102,679.60x = 7,281,257,431.34
  5. Step 5: Solve for x
    x = 7,281,257,431.34/102,679.60
  6. Step 6: Final answer
    x = 70,912.41

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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.