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Finding the Fourth Proportional to 180,220, 248,682.44 and 99,642.72

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Solution

The fourth proportional to 180,220, 248,682.44 and 99,642.72 is: 137,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,220 : 248,682.44 = 99,642.72 : x
  2. Step 2: Convert to fraction form
    180,220/248,682.44 = 99,642.72/x
  3. Step 3: Cross multiply
    180,220x = 248,682.44 × 99,642.72
  4. Step 4: Simplify right side
    180,220x = 24,779,394,737.84
  5. Step 5: Solve for x
    x = 24,779,394,737.84/180,220
  6. Step 6: Final answer
    x = 137,495.25

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1.5x scale

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.