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Finding the Fourth Proportional to 84,106, 126,159.02 and 34,213.24

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Solution

The fourth proportional to 84,106, 126,159.02 and 34,213.24 is: 51,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,106 : 126,159.02 = 34,213.24 : x
  2. Step 2: Convert to fraction form
    84,106/126,159.02 = 34,213.24/x
  3. Step 3: Cross multiply
    84,106x = 126,159.02 × 34,213.24
  4. Step 4: Simplify right side
    84,106x = 4,316,308,829.42
  5. Step 5: Solve for x
    x = 4,316,308,829.42/84,106
  6. Step 6: Final answer
    x = 51,319.87

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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.