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Finding the Fourth Proportional to 65,698.47, 90,671.00 and 40,221.97

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Solution

The fourth proportional to 65,698.47, 90,671.00 and 40,221.97 is: 55,510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,698.47 : 90,671.00 = 40,221.97 : x
  2. Step 2: Convert to fraction form
    65,698.47/90,671.00 = 40,221.97/x
  3. Step 3: Cross multiply
    65,698.47x = 90,671.00 × 40,221.97
  4. Step 4: Simplify right side
    65,698.47x = 3,646,965,814.08
  5. Step 5: Solve for x
    x = 3,646,965,814.08/65,698.47
  6. Step 6: Final answer
    x = 55,510.67

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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.