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Finding the Fourth Proportional to 57,840, 79,830.14 and 32,689.50

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Solution

The fourth proportional to 57,840, 79,830.14 and 32,689.50 is: 45,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,840 : 79,830.14 = 32,689.50 : x
  2. Step 2: Convert to fraction form
    57,840/79,830.14 = 32,689.50/x
  3. Step 3: Cross multiply
    57,840x = 79,830.14 × 32,689.50
  4. Step 4: Simplify right side
    57,840x = 2,609,607,198.08
  5. Step 5: Solve for x
    x = 2,609,607,198.08/57,840
  6. Step 6: Final answer
    x = 45,117.69

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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.