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Finding the Fourth Proportional to 144,551.40, 199,432.35 and 84,072.30

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Solution

The fourth proportional to 144,551.40, 199,432.35 and 84,072.30 is: 115,991.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,551.40 : 199,432.35 = 84,072.30 : x
  2. Step 2: Convert to fraction form
    144,551.40/199,432.35 = 84,072.30/x
  3. Step 3: Cross multiply
    144,551.40x = 199,432.35 × 84,072.30
  4. Step 4: Simplify right side
    144,551.40x = 16,766,736,358.91
  5. Step 5: Solve for x
    x = 16,766,736,358.91/144,551.40
  6. Step 6: Final answer
    x = 115,991.52

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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.