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Finding the Fourth Proportional to 130,429, 179,992.74 and 70,813

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Solution

The fourth proportional to 130,429, 179,992.74 and 70,813 is: 97,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,429 : 179,992.74 = 70,813 : x
  2. Step 2: Convert to fraction form
    130,429/179,992.74 = 70,813/x
  3. Step 3: Cross multiply
    130,429x = 179,992.74 × 70,813
  4. Step 4: Simplify right side
    130,429x = 12,745,825,897.62
  5. Step 5: Solve for x
    x = 12,745,825,897.62/130,429
  6. Step 6: Final answer
    x = 97,722.33

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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.