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Finding the Fourth Proportional to 165,612.80, 248,492.10 and 76,820.60

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Solution

The fourth proportional to 165,612.80, 248,492.10 and 76,820.60 is: 115,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,612.80 : 248,492.10 = 76,820.60 : x
  2. Step 2: Convert to fraction form
    165,612.80/248,492.10 = 76,820.60/x
  3. Step 3: Cross multiply
    165,612.80x = 248,492.10 × 76,820.60
  4. Step 4: Simplify right side
    165,612.80x = 19,089,312,217.26
  5. Step 5: Solve for x
    x = 19,089,312,217.26/165,612.80
  6. Step 6: Final answer
    x = 115,264.72

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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.