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Finding the Fourth Proportional to 120,393.12, 165,762.36 and 106,044

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Solution

The fourth proportional to 120,393.12, 165,762.36 and 106,044 is: 146,005.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,393.12 : 165,762.36 = 106,044 : x
  2. Step 2: Convert to fraction form
    120,393.12/165,762.36 = 106,044/x
  3. Step 3: Cross multiply
    120,393.12x = 165,762.36 × 106,044
  4. Step 4: Simplify right side
    120,393.12x = 17,578,103,703.84
  5. Step 5: Solve for x
    x = 17,578,103,703.84/120,393.12
  6. Step 6: Final answer
    x = 146,005.88

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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.