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Finding the Fourth Proportional to 86,400, 119,232 and 46,656

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Solution

The fourth proportional to 86,400, 119,232 and 46,656 is: 64,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,400 : 119,232 = 46,656 : x
  2. Step 2: Convert to fraction form
    86,400/119,232 = 46,656/x
  3. Step 3: Cross multiply
    86,400x = 119,232 × 46,656
  4. Step 4: Simplify right side
    86,400x = 5,562,888,192
  5. Step 5: Solve for x
    x = 5,562,888,192/86,400
  6. Step 6: Final answer
    x = 64,385.28

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Why These Related Problems?

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