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Finding the Fourth Proportional to 180,389.25, 270,677.22 and 130,878

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Solution

The fourth proportional to 180,389.25, 270,677.22 and 130,878 is: 196,384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,389.25 : 270,677.22 = 130,878 : x
  2. Step 2: Convert to fraction form
    180,389.25/270,677.22 = 130,878/x
  3. Step 3: Cross multiply
    180,389.25x = 270,677.22 × 130,878
  4. Step 4: Simplify right side
    180,389.25x = 35,425,693,199.16
  5. Step 5: Solve for x
    x = 35,425,693,199.16/180,389.25
  6. Step 6: Final answer
    x = 196,384.72

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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.