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Finding the Fourth Proportional to 285,642.95, 428,465.96 and 85,961.98

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Solution

The fourth proportional to 285,642.95, 428,465.96 and 85,961.98 is: 128,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,642.95 : 428,465.96 = 85,961.98 : x
  2. Step 2: Convert to fraction form
    285,642.95/428,465.96 = 85,961.98/x
  3. Step 3: Cross multiply
    285,642.95x = 428,465.96 × 85,961.98
  4. Step 4: Simplify right side
    285,642.95x = 36,831,782,284.20
  5. Step 5: Solve for x
    x = 36,831,782,284.20/285,642.95
  6. Step 6: Final answer
    x = 128,943.43

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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.