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Finding the Fourth Proportional to 224,736, 310,136.80 and 129,248.32

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Solution

The fourth proportional to 224,736, 310,136.80 and 129,248.32 is: 178,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,736 : 310,136.80 = 129,248.32 : x
  2. Step 2: Convert to fraction form
    224,736/310,136.80 = 129,248.32/x
  3. Step 3: Cross multiply
    224,736x = 310,136.80 × 129,248.32
  4. Step 4: Simplify right side
    224,736x = 40,084,660,370.18
  5. Step 5: Solve for x
    x = 40,084,660,370.18/224,736
  6. Step 6: Final answer
    x = 178,363.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.