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Finding the Fourth Proportional to 180,389.90, 270,541.10 and 75,151.46

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Solution

The fourth proportional to 180,389.90, 270,541.10 and 75,151.46 is: 112,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,389.90 : 270,541.10 = 75,151.46 : x
  2. Step 2: Convert to fraction form
    180,389.90/270,541.10 = 75,151.46/x
  3. Step 3: Cross multiply
    180,389.90x = 270,541.10 × 75,151.46
  4. Step 4: Simplify right side
    180,389.90x = 20,331,558,655.01
  5. Step 5: Solve for x
    x = 20,331,558,655.01/180,389.90
  6. Step 6: Final answer
    x = 112,708.96

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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.