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Finding the Fourth Proportional to 120,315.58, 180,411.08 and 64,140.60

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Solution

The fourth proportional to 120,315.58, 180,411.08 and 64,140.60 is: 96,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,315.58 : 180,411.08 = 64,140.60 : x
  2. Step 2: Convert to fraction form
    120,315.58/180,411.08 = 64,140.60/x
  3. Step 3: Cross multiply
    120,315.58x = 180,411.08 × 64,140.60
  4. Step 4: Simplify right side
    120,315.58x = 11,571,674,917.85
  5. Step 5: Solve for x
    x = 11,571,674,917.85/120,315.58
  6. Step 6: Final answer
    x = 96,177.69

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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.