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Finding the Fourth Proportional to 119,896.40, 165,461.04 and 65,451.80

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Solution

The fourth proportional to 119,896.40, 165,461.04 and 65,451.80 is: 90,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,896.40 : 165,461.04 = 65,451.80 : x
  2. Step 2: Convert to fraction form
    119,896.40/165,461.04 = 65,451.80/x
  3. Step 3: Cross multiply
    119,896.40x = 165,461.04 × 65,451.80
  4. Step 4: Simplify right side
    119,896.40x = 10,829,722,897.87
  5. Step 5: Solve for x
    x = 10,829,722,897.87/119,896.40
  6. Step 6: Final answer
    x = 90,325.67

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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.