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Finding the Fourth Proportional to 130,009, 179,412.42 and 70,393

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Solution

The fourth proportional to 130,009, 179,412.42 and 70,393 is: 97,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,009 : 179,412.42 = 70,393 : x
  2. Step 2: Convert to fraction form
    130,009/179,412.42 = 70,393/x
  3. Step 3: Cross multiply
    130,009x = 179,412.42 × 70,393
  4. Step 4: Simplify right side
    130,009x = 12,629,378,481.06
  5. Step 5: Solve for x
    x = 12,629,378,481.06/130,009
  6. Step 6: Final answer
    x = 97,142.34

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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.