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Finding the Fourth Proportional to 129,720, 194,580 and 31,224

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Solution

The fourth proportional to 129,720, 194,580 and 31,224 is: 46,836

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,720 : 194,580 = 31,224 : x
  2. Step 2: Convert to fraction form
    129,720/194,580 = 31,224/x
  3. Step 3: Cross multiply
    129,720x = 194,580 × 31,224
  4. Step 4: Simplify right side
    129,720x = 6,075,565,920
  5. Step 5: Solve for x
    x = 6,075,565,920/129,720
  6. Step 6: Final answer
    x = 46,836

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.