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Finding the Fourth Proportional to 180,218, 248,679.68 and 99,640.72

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Solution

The fourth proportional to 180,218, 248,679.68 and 99,640.72 is: 137,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,218 : 248,679.68 = 99,640.72 : x
  2. Step 2: Convert to fraction form
    180,218/248,679.68 = 99,640.72/x
  3. Step 3: Cross multiply
    180,218x = 248,679.68 × 99,640.72
  4. Step 4: Simplify right side
    180,218x = 24,778,622,364.57
  5. Step 5: Solve for x
    x = 24,778,622,364.57/180,218
  6. Step 6: Final answer
    x = 137,492.49

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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.