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Finding the Fourth Proportional to 119,495.70, 164,904.12 and 65,782.80

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Solution

The fourth proportional to 119,495.70, 164,904.12 and 65,782.80 is: 90,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,495.70 : 164,904.12 = 65,782.80 : x
  2. Step 2: Convert to fraction form
    119,495.70/164,904.12 = 65,782.80/x
  3. Step 3: Cross multiply
    119,495.70x = 164,904.12 × 65,782.80
  4. Step 4: Simplify right side
    119,495.70x = 10,847,854,745.14
  5. Step 5: Solve for x
    x = 10,847,854,745.14/119,495.70
  6. Step 6: Final answer
    x = 90,780.29

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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.