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Finding the Fourth Proportional to 180,221.68, 248,701.52 and 99,647.16

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Solution

The fourth proportional to 180,221.68, 248,701.52 and 99,647.16 is: 137,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,221.68 : 248,701.52 = 99,647.16 : x
  2. Step 2: Convert to fraction form
    180,221.68/248,701.52 = 99,647.16/x
  3. Step 3: Cross multiply
    180,221.68x = 248,701.52 × 99,647.16
  4. Step 4: Simplify right side
    180,221.68x = 24,782,400,155.68
  5. Step 5: Solve for x
    x = 24,782,400,155.68/180,221.68
  6. Step 6: Final answer
    x = 137,510.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.