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Finding the Fourth Proportional to 120,395.12, 165,765.12 and 106,046

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Solution

The fourth proportional to 120,395.12, 165,765.12 and 106,046 is: 146,008.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,395.12 : 165,765.12 = 106,046 : x
  2. Step 2: Convert to fraction form
    120,395.12/165,765.12 = 106,046/x
  3. Step 3: Cross multiply
    120,395.12x = 165,765.12 × 106,046
  4. Step 4: Simplify right side
    120,395.12x = 17,578,727,915.52
  5. Step 5: Solve for x
    x = 17,578,727,915.52/120,395.12
  6. Step 6: Final answer
    x = 146,008.64

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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.