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Finding the Fourth Proportional to 78,378.84, 117,569.34 and 19,215.90

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Solution

The fourth proportional to 78,378.84, 117,569.34 and 19,215.90 is: 28,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,378.84 : 117,569.34 = 19,215.90 : x
  2. Step 2: Convert to fraction form
    78,378.84/117,569.34 = 19,215.90/x
  3. Step 3: Cross multiply
    78,378.84x = 117,569.34 × 19,215.90
  4. Step 4: Simplify right side
    78,378.84x = 2,259,200,680.51
  5. Step 5: Solve for x
    x = 2,259,200,680.51/78,378.84
  6. Step 6: Final answer
    x = 28,824.11

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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.