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Finding the Fourth Proportional to 144,455.86, 216,641.48 and 54,433.63

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Solution

The fourth proportional to 144,455.86, 216,641.48 and 54,433.63 is: 81,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,455.86 : 216,641.48 = 54,433.63 : x
  2. Step 2: Convert to fraction form
    144,455.86/216,641.48 = 54,433.63/x
  3. Step 3: Cross multiply
    144,455.86x = 216,641.48 × 54,433.63
  4. Step 4: Simplify right side
    144,455.86x = 11,792,580,945.00
  5. Step 5: Solve for x
    x = 11,792,580,945.00/144,455.86
  6. Step 6: Final answer
    x = 81,634.49

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Why These Related Problems?

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