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Finding the Fourth Proportional to 78,200.84, 117,283.28 and 46,619.84

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Solution

The fourth proportional to 78,200.84, 117,283.28 and 46,619.84 is: 69,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.84 : 117,283.28 = 46,619.84 : x
  2. Step 2: Convert to fraction form
    78,200.84/117,283.28 = 46,619.84/x
  3. Step 3: Cross multiply
    78,200.84x = 117,283.28 × 46,619.84
  4. Step 4: Simplify right side
    78,200.84x = 5,467,727,748.28
  5. Step 5: Solve for x
    x = 5,467,727,748.28/78,200.84
  6. Step 6: Final answer
    x = 69,919.04

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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.