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Finding the Fourth Proportional to 130,357, 179,892.66 and 70,741

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Solution

The fourth proportional to 130,357, 179,892.66 and 70,741 is: 97,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,357 : 179,892.66 = 70,741 : x
  2. Step 2: Convert to fraction form
    130,357/179,892.66 = 70,741/x
  3. Step 3: Cross multiply
    130,357x = 179,892.66 × 70,741
  4. Step 4: Simplify right side
    130,357x = 12,725,786,661.06
  5. Step 5: Solve for x
    x = 12,725,786,661.06/130,357
  6. Step 6: Final answer
    x = 97,622.58

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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.