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Finding the Fourth Proportional to 129,715, 194,572.50 and 31,219

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Solution

The fourth proportional to 129,715, 194,572.50 and 31,219 is: 46,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,715 : 194,572.50 = 31,219 : x
  2. Step 2: Convert to fraction form
    129,715/194,572.50 = 31,219/x
  3. Step 3: Cross multiply
    129,715x = 194,572.50 × 31,219
  4. Step 4: Simplify right side
    129,715x = 6,074,358,877.50
  5. Step 5: Solve for x
    x = 6,074,358,877.50/129,715
  6. Step 6: Final answer
    x = 46,828.50

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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.