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Finding the Fourth Proportional to 144,456.86, 216,642.97 and 54,434.63

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Solution

The fourth proportional to 144,456.86, 216,642.97 and 54,434.63 is: 81,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,456.86 : 216,642.97 = 54,434.63 : x
  2. Step 2: Convert to fraction form
    144,456.86/216,642.97 = 54,434.63/x
  3. Step 3: Cross multiply
    144,456.86x = 216,642.97 × 54,434.63
  4. Step 4: Simplify right side
    144,456.86x = 11,792,879,914.05
  5. Step 5: Solve for x
    x = 11,792,879,914.05/144,456.86
  6. Step 6: Final answer
    x = 81,636.00

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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.