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Finding the Fourth Proportional to 130,333, 179,859.56 and 70,717

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Solution

The fourth proportional to 130,333, 179,859.56 and 70,717 is: 97,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,333 : 179,859.56 = 70,717 : x
  2. Step 2: Convert to fraction form
    130,333/179,859.56 = 70,717/x
  3. Step 3: Cross multiply
    130,333x = 179,859.56 × 70,717
  4. Step 4: Simplify right side
    130,333x = 12,719,128,504.52
  5. Step 5: Solve for x
    x = 12,719,128,504.52/130,333
  6. Step 6: Final answer
    x = 97,589.47

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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.