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Finding the Fourth Proportional to 142,798.98, 197,034.21 and 86,213.46

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Solution

The fourth proportional to 142,798.98, 197,034.21 and 86,213.46 is: 118,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,798.98 : 197,034.21 = 86,213.46 : x
  2. Step 2: Convert to fraction form
    142,798.98/197,034.21 = 86,213.46/x
  3. Step 3: Cross multiply
    142,798.98x = 197,034.21 × 86,213.46
  4. Step 4: Simplify right side
    142,798.98x = 16,987,000,982.47
  5. Step 5: Solve for x
    x = 16,987,000,982.47/142,798.98
  6. Step 6: Final answer
    x = 118,957.44

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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.