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Finding the Fourth Proportional to 130,105, 179,544.90 and 70,489

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Solution

The fourth proportional to 130,105, 179,544.90 and 70,489 is: 97,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,105 : 179,544.90 = 70,489 : x
  2. Step 2: Convert to fraction form
    130,105/179,544.90 = 70,489/x
  3. Step 3: Cross multiply
    130,105x = 179,544.90 × 70,489
  4. Step 4: Simplify right side
    130,105x = 12,655,940,456.10
  5. Step 5: Solve for x
    x = 12,655,940,456.10/130,105
  6. Step 6: Final answer
    x = 97,274.82

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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.