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Finding the Fourth Proportional to 180,074, 248,502.12 and 100,586

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Solution

The fourth proportional to 180,074, 248,502.12 and 100,586 is: 138,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,074 : 248,502.12 = 100,586 : x
  2. Step 2: Convert to fraction form
    180,074/248,502.12 = 100,586/x
  3. Step 3: Cross multiply
    180,074x = 248,502.12 × 100,586
  4. Step 4: Simplify right side
    180,074x = 24,995,834,242.32
  5. Step 5: Solve for x
    x = 24,995,834,242.32/180,074
  6. Step 6: Final answer
    x = 138,808.68

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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.