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Finding the Fourth Proportional to 144,194, 216,291 and 45,698

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Solution

The fourth proportional to 144,194, 216,291 and 45,698 is: 68,547

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,194 : 216,291 = 45,698 : x
  2. Step 2: Convert to fraction form
    144,194/216,291 = 45,698/x
  3. Step 3: Cross multiply
    144,194x = 216,291 × 45,698
  4. Step 4: Simplify right side
    144,194x = 9,884,066,118
  5. Step 5: Solve for x
    x = 9,884,066,118/144,194
  6. Step 6: Final answer
    x = 68,547

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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.