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Finding the Fourth Proportional to 84,308.09, 116,369.40 and 55,648.67

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Solution

The fourth proportional to 84,308.09, 116,369.40 and 55,648.67 is: 76,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,308.09 : 116,369.40 = 55,648.67 : x
  2. Step 2: Convert to fraction form
    84,308.09/116,369.40 = 55,648.67/x
  3. Step 3: Cross multiply
    84,308.09x = 116,369.40 × 55,648.67
  4. Step 4: Simplify right side
    84,308.09x = 6,475,801,756.85
  5. Step 5: Solve for x
    x = 6,475,801,756.85/84,308.09
  6. Step 6: Final answer
    x = 76,811.16

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1.5x scale

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.