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Finding the Fourth Proportional to 102,999.64, 154,460.56 and 47,556.76

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Solution

The fourth proportional to 102,999.64, 154,460.56 and 47,556.76 is: 71,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,999.64 : 154,460.56 = 47,556.76 : x
  2. Step 2: Convert to fraction form
    102,999.64/154,460.56 = 47,556.76/x
  3. Step 3: Cross multiply
    102,999.64x = 154,460.56 × 47,556.76
  4. Step 4: Simplify right side
    102,999.64x = 7,345,643,781.39
  5. Step 5: Solve for x
    x = 7,345,643,781.39/102,999.64
  6. Step 6: Final answer
    x = 71,317.18

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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.