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Finding the Fourth Proportional to 260,079.90, 390,130.65 and 82,581.90

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Solution

The fourth proportional to 260,079.90, 390,130.65 and 82,581.90 is: 123,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,079.90 : 390,130.65 = 82,581.90 : x
  2. Step 2: Convert to fraction form
    260,079.90/390,130.65 = 82,581.90/x
  3. Step 3: Cross multiply
    260,079.90x = 390,130.65 × 82,581.90
  4. Step 4: Simplify right side
    260,079.90x = 32,217,730,325.24
  5. Step 5: Solve for x
    x = 32,217,730,325.24/260,079.90
  6. Step 6: Final answer
    x = 123,876.28

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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.