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Finding the Fourth Proportional to 78,483.10, 117,724.65 and 72,492.70

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Solution

The fourth proportional to 78,483.10, 117,724.65 and 72,492.70 is: 108,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,483.10 : 117,724.65 = 72,492.70 : x
  2. Step 2: Convert to fraction form
    78,483.10/117,724.65 = 72,492.70/x
  3. Step 3: Cross multiply
    78,483.10x = 117,724.65 × 72,492.70
  4. Step 4: Simplify right side
    78,483.10x = 8,534,177,735.06
  5. Step 5: Solve for x
    x = 8,534,177,735.06/78,483.10
  6. Step 6: Final answer
    x = 108,739.05

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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.