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Finding the Fourth Proportional to 119,221.50, 164,525.64 and 65,509.98

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Solution

The fourth proportional to 119,221.50, 164,525.64 and 65,509.98 is: 90,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,221.50 : 164,525.64 = 65,509.98 : x
  2. Step 2: Convert to fraction form
    119,221.50/164,525.64 = 65,509.98/x
  3. Step 3: Cross multiply
    119,221.50x = 164,525.64 × 65,509.98
  4. Step 4: Simplify right side
    119,221.50x = 10,778,070,523.25
  5. Step 5: Solve for x
    x = 10,778,070,523.25/119,221.50
  6. Step 6: Final answer
    x = 90,403.75

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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.