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Finding the Fourth Proportional to 65,811.80, 98,588.10 and 39,438.20

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Solution

The fourth proportional to 65,811.80, 98,588.10 and 39,438.20 is: 59,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,811.80 : 98,588.10 = 39,438.20 : x
  2. Step 2: Convert to fraction form
    65,811.80/98,588.10 = 39,438.20/x
  3. Step 3: Cross multiply
    65,811.80x = 98,588.10 × 39,438.20
  4. Step 4: Simplify right side
    65,811.80x = 3,888,137,205.42
  5. Step 5: Solve for x
    x = 3,888,137,205.42/65,811.80
  6. Step 6: Final answer
    x = 59,079.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.