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Finding the Fourth Proportional to 84,102.33, 116,070.47 and 51,830.42

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Solution

The fourth proportional to 84,102.33, 116,070.47 and 51,830.42 is: 71,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,102.33 : 116,070.47 = 51,830.42 : x
  2. Step 2: Convert to fraction form
    84,102.33/116,070.47 = 51,830.42/x
  3. Step 3: Cross multiply
    84,102.33x = 116,070.47 × 51,830.42
  4. Step 4: Simplify right side
    84,102.33x = 6,015,980,564.56
  5. Step 5: Solve for x
    x = 6,015,980,564.56/84,102.33
  6. Step 6: Final answer
    x = 71,531.67

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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.