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Finding the Fourth Proportional to 142,728, 196,964.64 and 86,139.39

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Solution

The fourth proportional to 142,728, 196,964.64 and 86,139.39 is: 118,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,728 : 196,964.64 = 86,139.39 : x
  2. Step 2: Convert to fraction form
    142,728/196,964.64 = 86,139.39/x
  3. Step 3: Cross multiply
    142,728x = 196,964.64 × 86,139.39
  4. Step 4: Simplify right side
    142,728x = 16,966,413,941.17
  5. Step 5: Solve for x
    x = 16,966,413,941.17/142,728
  6. Step 6: Final answer
    x = 118,872.36

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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.