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Finding the Fourth Proportional to 142,752, 196,997.76 and 86,163.36

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Solution

The fourth proportional to 142,752, 196,997.76 and 86,163.36 is: 118,905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,752 : 196,997.76 = 86,163.36 : x
  2. Step 2: Convert to fraction form
    142,752/196,997.76 = 86,163.36/x
  3. Step 3: Cross multiply
    142,752x = 196,997.76 × 86,163.36
  4. Step 4: Simplify right side
    142,752x = 16,973,988,914.07
  5. Step 5: Solve for x
    x = 16,973,988,914.07/142,752
  6. Step 6: Final answer
    x = 118,905.44

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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.