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Finding the Fourth Proportional to 129,916, 179,284.56 and 70,300

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Solution

The fourth proportional to 129,916, 179,284.56 and 70,300 is: 97,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,916 : 179,284.56 = 70,300 : x
  2. Step 2: Convert to fraction form
    129,916/179,284.56 = 70,300/x
  3. Step 3: Cross multiply
    129,916x = 179,284.56 × 70,300
  4. Step 4: Simplify right side
    129,916x = 12,603,704,568
  5. Step 5: Solve for x
    x = 12,603,704,568/129,916
  6. Step 6: Final answer
    x = 97,014.26

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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.