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Finding the Fourth Proportional to 120,746.32, 180,950.46 and 102,883.84

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Solution

The fourth proportional to 120,746.32, 180,950.46 and 102,883.84 is: 154,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,746.32 : 180,950.46 = 102,883.84 : x
  2. Step 2: Convert to fraction form
    120,746.32/180,950.46 = 102,883.84/x
  3. Step 3: Cross multiply
    120,746.32x = 180,950.46 × 102,883.84
  4. Step 4: Simplify right side
    120,746.32x = 18,616,878,174.57
  5. Step 5: Solve for x
    x = 18,616,878,174.57/120,746.32
  6. Step 6: Final answer
    x = 154,181.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.