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Finding the Fourth Proportional to 158,858.63, 219,274.11 and 102,270

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Solution

The fourth proportional to 158,858.63, 219,274.11 and 102,270 is: 141,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,858.63 : 219,274.11 = 102,270 : x
  2. Step 2: Convert to fraction form
    158,858.63/219,274.11 = 102,270/x
  3. Step 3: Cross multiply
    158,858.63x = 219,274.11 × 102,270
  4. Step 4: Simplify right side
    158,858.63x = 22,425,163,229.70
  5. Step 5: Solve for x
    x = 22,425,163,229.70/158,858.63
  6. Step 6: Final answer
    x = 141,164.28

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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.