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Finding the Fourth Proportional to 84,606.51, 126,913.53 and 47,138.19

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Solution

The fourth proportional to 84,606.51, 126,913.53 and 47,138.19 is: 70,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,606.51 : 126,913.53 = 47,138.19 : x
  2. Step 2: Convert to fraction form
    84,606.51/126,913.53 = 47,138.19/x
  3. Step 3: Cross multiply
    84,606.51x = 126,913.53 × 47,138.19
  4. Step 4: Simplify right side
    84,606.51x = 5,982,474,090.71
  5. Step 5: Solve for x
    x = 5,982,474,090.71/84,606.51
  6. Step 6: Final answer
    x = 70,709.38

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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.