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Finding the Fourth Proportional to 130,198, 179,673.24 and 70,582

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Solution

The fourth proportional to 130,198, 179,673.24 and 70,582 is: 97,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,198 : 179,673.24 = 70,582 : x
  2. Step 2: Convert to fraction form
    130,198/179,673.24 = 70,582/x
  3. Step 3: Cross multiply
    130,198x = 179,673.24 × 70,582
  4. Step 4: Simplify right side
    130,198x = 12,681,696,625.68
  5. Step 5: Solve for x
    x = 12,681,696,625.68/130,198
  6. Step 6: Final answer
    x = 97,403.16

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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.