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Finding the Fourth Proportional to 130,176, 195,264 and 31,680

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Solution

The fourth proportional to 130,176, 195,264 and 31,680 is: 47,520

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,176 : 195,264 = 31,680 : x
  2. Step 2: Convert to fraction form
    130,176/195,264 = 31,680/x
  3. Step 3: Cross multiply
    130,176x = 195,264 × 31,680
  4. Step 4: Simplify right side
    130,176x = 6,185,963,520
  5. Step 5: Solve for x
    x = 6,185,963,520/130,176
  6. Step 6: Final answer
    x = 47,520

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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.