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Finding the Fourth Proportional to 180,892, 249,630.96 and 100,331.86

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Solution

The fourth proportional to 180,892, 249,630.96 and 100,331.86 is: 138,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,892 : 249,630.96 = 100,331.86 : x
  2. Step 2: Convert to fraction form
    180,892/249,630.96 = 100,331.86/x
  3. Step 3: Cross multiply
    180,892x = 249,630.96 × 100,331.86
  4. Step 4: Simplify right side
    180,892x = 25,045,938,530.39
  5. Step 5: Solve for x
    x = 25,045,938,530.39/180,892
  6. Step 6: Final answer
    x = 138,457.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.