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Finding the Fourth Proportional to 34,855.80, 48,102.14 and 20,513.02

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Solution

The fourth proportional to 34,855.80, 48,102.14 and 20,513.02 is: 28,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,855.80 : 48,102.14 = 20,513.02 : x
  2. Step 2: Convert to fraction form
    34,855.80/48,102.14 = 20,513.02/x
  3. Step 3: Cross multiply
    34,855.80x = 48,102.14 × 20,513.02
  4. Step 4: Simplify right side
    34,855.80x = 986,720,159.86
  5. Step 5: Solve for x
    x = 986,720,159.86/34,855.80
  6. Step 6: Final answer
    x = 28,308.64

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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.