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Finding the Fourth Proportional to 142,648.70, 196,855.20 and 78,986.50

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Solution

The fourth proportional to 142,648.70, 196,855.20 and 78,986.50 is: 109,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,648.70 : 196,855.20 = 78,986.50 : x
  2. Step 2: Convert to fraction form
    142,648.70/196,855.20 = 78,986.50/x
  3. Step 3: Cross multiply
    142,648.70x = 196,855.20 × 78,986.50
  4. Step 4: Simplify right side
    142,648.70x = 15,548,902,762.66
  5. Step 5: Solve for x
    x = 15,548,902,762.66/142,648.70
  6. Step 6: Final answer
    x = 109,001.37

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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.