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Finding the Fourth Proportional to 78,209.84, 117,313.53 and 19,045.41

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Solution

The fourth proportional to 78,209.84, 117,313.53 and 19,045.41 is: 28,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,209.84 : 117,313.53 = 19,045.41 : x
  2. Step 2: Convert to fraction form
    78,209.84/117,313.53 = 19,045.41/x
  3. Step 3: Cross multiply
    78,209.84x = 117,313.53 × 19,045.41
  4. Step 4: Simplify right side
    78,209.84x = 2,234,284,277.40
  5. Step 5: Solve for x
    x = 2,234,284,277.40/78,209.84
  6. Step 6: Final answer
    x = 28,567.82

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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.