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Finding the Fourth Proportional to 180,447.36, 249,012.36 and 99,872.88

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Solution

The fourth proportional to 180,447.36, 249,012.36 and 99,872.88 is: 137,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,447.36 : 249,012.36 = 99,872.88 : x
  2. Step 2: Convert to fraction form
    180,447.36/249,012.36 = 99,872.88/x
  3. Step 3: Cross multiply
    180,447.36x = 249,012.36 × 99,872.88
  4. Step 4: Simplify right side
    180,447.36x = 24,869,581,548.80
  5. Step 5: Solve for x
    x = 24,869,581,548.80/180,447.36
  6. Step 6: Final answer
    x = 137,821.81

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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.