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Finding the Fourth Proportional to 180,045, 248,462.10 and 100,557

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Solution

The fourth proportional to 180,045, 248,462.10 and 100,557 is: 138,768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,045 : 248,462.10 = 100,557 : x
  2. Step 2: Convert to fraction form
    180,045/248,462.10 = 100,557/x
  3. Step 3: Cross multiply
    180,045x = 248,462.10 × 100,557
  4. Step 4: Simplify right side
    180,045x = 24,984,603,389.70
  5. Step 5: Solve for x
    x = 24,984,603,389.70/180,045
  6. Step 6: Final answer
    x = 138,768.66

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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.