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Finding the Fourth Proportional to 120,693.90, 180,846.45 and 100,865.10

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Solution

The fourth proportional to 120,693.90, 180,846.45 and 100,865.10 is: 151,135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,693.90 : 180,846.45 = 100,865.10 : x
  2. Step 2: Convert to fraction form
    120,693.90/180,846.45 = 100,865.10/x
  3. Step 3: Cross multiply
    120,693.90x = 180,846.45 × 100,865.10
  4. Step 4: Simplify right side
    120,693.90x = 18,241,095,263.90
  5. Step 5: Solve for x
    x = 18,241,095,263.90/120,693.90
  6. Step 6: Final answer
    x = 151,135.19

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1.5x scale

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.