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Finding the Fourth Proportional to 102,882.46, 154,338.48 and 31,810.64

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Solution

The fourth proportional to 102,882.46, 154,338.48 and 31,810.64 is: 47,720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,882.46 : 154,338.48 = 31,810.64 : x
  2. Step 2: Convert to fraction form
    102,882.46/154,338.48 = 31,810.64/x
  3. Step 3: Cross multiply
    102,882.46x = 154,338.48 × 31,810.64
  4. Step 4: Simplify right side
    102,882.46x = 4,909,605,666.37
  5. Step 5: Solve for x
    x = 4,909,605,666.37/102,882.46
  6. Step 6: Final answer
    x = 47,720.53

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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.