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Finding the Fourth Proportional to 152,963.84, 211,091.10 and 84,980

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Solution

The fourth proportional to 152,963.84, 211,091.10 and 84,980 is: 117,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,963.84 : 211,091.10 = 84,980 : x
  2. Step 2: Convert to fraction form
    152,963.84/211,091.10 = 84,980/x
  3. Step 3: Cross multiply
    152,963.84x = 211,091.10 × 84,980
  4. Step 4: Simplify right side
    152,963.84x = 17,938,521,678
  5. Step 5: Solve for x
    x = 17,938,521,678/152,963.84
  6. Step 6: Final answer
    x = 117,272.96

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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.