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Finding the Fourth Proportional to 180,205.50, 248,681.94 and 99,635.06

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Solution

The fourth proportional to 180,205.50, 248,681.94 and 99,635.06 is: 137,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,205.50 : 248,681.94 = 99,635.06 : x
  2. Step 2: Convert to fraction form
    180,205.50/248,681.94 = 99,635.06/x
  3. Step 3: Cross multiply
    180,205.50x = 248,681.94 × 99,635.06
  4. Step 4: Simplify right side
    180,205.50x = 24,777,440,012.82
  5. Step 5: Solve for x
    x = 24,777,440,012.82/180,205.50
  6. Step 6: Final answer
    x = 137,495.47

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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.