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Finding the Fourth Proportional to 119,149.53, 164,429.21 and 65,435.70

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Solution

The fourth proportional to 119,149.53, 164,429.21 and 65,435.70 is: 90,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,149.53 : 164,429.21 = 65,435.70 : x
  2. Step 2: Convert to fraction form
    119,149.53/164,429.21 = 65,435.70/x
  3. Step 3: Cross multiply
    119,149.53x = 164,429.21 × 65,435.70
  4. Step 4: Simplify right side
    119,149.53x = 10,759,539,944.01
  5. Step 5: Solve for x
    x = 10,759,539,944.01/119,149.53
  6. Step 6: Final answer
    x = 90,302.83

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1.5x scale

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.