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Finding the Fourth Proportional to 180,146, 248,601.48 and 100,658

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Solution

The fourth proportional to 180,146, 248,601.48 and 100,658 is: 138,908.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,146 : 248,601.48 = 100,658 : x
  2. Step 2: Convert to fraction form
    180,146/248,601.48 = 100,658/x
  3. Step 3: Cross multiply
    180,146x = 248,601.48 × 100,658
  4. Step 4: Simplify right side
    180,146x = 25,023,727,773.84
  5. Step 5: Solve for x
    x = 25,023,727,773.84/180,146
  6. Step 6: Final answer
    x = 138,908.04

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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.