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Finding the Fourth Proportional to 180,989.33, 249,760.50 and 99,317.33

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Solution

The fourth proportional to 180,989.33, 249,760.50 and 99,317.33 is: 137,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,989.33 : 249,760.50 = 99,317.33 : x
  2. Step 2: Convert to fraction form
    180,989.33/249,760.50 = 99,317.33/x
  3. Step 3: Cross multiply
    180,989.33x = 249,760.50 × 99,317.33
  4. Step 4: Simplify right side
    180,989.33x = 24,805,544,750.66
  5. Step 5: Solve for x
    x = 24,805,544,750.66/180,989.33
  6. Step 6: Final answer
    x = 137,055.29

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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.