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Finding the Fourth Proportional to 65,642.75, 98,478.71 and 18,891.98

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Solution

The fourth proportional to 65,642.75, 98,478.71 and 18,891.98 is: 28,342.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,642.75 : 98,478.71 = 18,891.98 : x
  2. Step 2: Convert to fraction form
    65,642.75/98,478.71 = 18,891.98/x
  3. Step 3: Cross multiply
    65,642.75x = 98,478.71 × 18,891.98
  4. Step 4: Simplify right side
    65,642.75x = 1,860,458,280.11
  5. Step 5: Solve for x
    x = 1,860,458,280.11/65,642.75
  6. Step 6: Final answer
    x = 28,342.17

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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.