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Finding the Fourth Proportional to 107,673.99, 148,644 and 83,420.88

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Solution

The fourth proportional to 107,673.99, 148,644 and 83,420.88 is: 115,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,673.99 : 148,644 = 83,420.88 : x
  2. Step 2: Convert to fraction form
    107,673.99/148,644 = 83,420.88/x
  3. Step 3: Cross multiply
    107,673.99x = 148,644 × 83,420.88
  4. Step 4: Simplify right side
    107,673.99x = 12,400,013,286.72
  5. Step 5: Solve for x
    x = 12,400,013,286.72/107,673.99
  6. Step 6: Final answer
    x = 115,162.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.