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Finding the Fourth Proportional to 260,543.95, 390,745.61 and 92,042.09

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Solution

The fourth proportional to 260,543.95, 390,745.61 and 92,042.09 is: 138,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,543.95 : 390,745.61 = 92,042.09 : x
  2. Step 2: Convert to fraction form
    260,543.95/390,745.61 = 92,042.09/x
  3. Step 3: Cross multiply
    260,543.95x = 390,745.61 × 92,042.09
  4. Step 4: Simplify right side
    260,543.95x = 35,965,041,999.24
  5. Step 5: Solve for x
    x = 35,965,041,999.24/260,543.95
  6. Step 6: Final answer
    x = 138,038.29

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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.