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Finding the Fourth Proportional to 153,600, 230,400 and 36,864

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Solution

The fourth proportional to 153,600, 230,400 and 36,864 is: 55,296

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,600 : 230,400 = 36,864 : x
  2. Step 2: Convert to fraction form
    153,600/230,400 = 36,864/x
  3. Step 3: Cross multiply
    153,600x = 230,400 × 36,864
  4. Step 4: Simplify right side
    153,600x = 8,493,465,600
  5. Step 5: Solve for x
    x = 8,493,465,600/153,600
  6. Step 6: Final answer
    x = 55,296

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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.