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Finding the Fourth Proportional to 144,181.60, 216,272.40 and 85,132.60

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Solution

The fourth proportional to 144,181.60, 216,272.40 and 85,132.60 is: 127,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,181.60 : 216,272.40 = 85,132.60 : x
  2. Step 2: Convert to fraction form
    144,181.60/216,272.40 = 85,132.60/x
  3. Step 3: Cross multiply
    144,181.60x = 216,272.40 × 85,132.60
  4. Step 4: Simplify right side
    144,181.60x = 18,411,831,720.24
  5. Step 5: Solve for x
    x = 18,411,831,720.24/144,181.60
  6. Step 6: Final answer
    x = 127,698.90

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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.