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Finding the Fourth Proportional to 130,212, 195,318 and 31,716

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Solution

The fourth proportional to 130,212, 195,318 and 31,716 is: 47,574

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,212 : 195,318 = 31,716 : x
  2. Step 2: Convert to fraction form
    130,212/195,318 = 31,716/x
  3. Step 3: Cross multiply
    130,212x = 195,318 × 31,716
  4. Step 4: Simplify right side
    130,212x = 6,194,705,688
  5. Step 5: Solve for x
    x = 6,194,705,688/130,212
  6. Step 6: Final answer
    x = 47,574

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