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Finding the Fourth Proportional to 180,774.18, 270,980.64 and 85,837.32

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Solution

The fourth proportional to 180,774.18, 270,980.64 and 85,837.32 is: 128,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,774.18 : 270,980.64 = 85,837.32 : x
  2. Step 2: Convert to fraction form
    180,774.18/270,980.64 = 85,837.32/x
  3. Step 3: Cross multiply
    180,774.18x = 270,980.64 × 85,837.32
  4. Step 4: Simplify right side
    180,774.18x = 23,260,251,909.48
  5. Step 5: Solve for x
    x = 23,260,251,909.48/180,774.18
  6. Step 6: Final answer
    x = 128,670.21

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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.