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Finding the Fourth Proportional to 180,489.34, 249,067.21 and 99,911.17

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Solution

The fourth proportional to 180,489.34, 249,067.21 and 99,911.17 is: 137,872.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,489.34 : 249,067.21 = 99,911.17 : x
  2. Step 2: Convert to fraction form
    180,489.34/249,067.21 = 99,911.17/x
  3. Step 3: Cross multiply
    180,489.34x = 249,067.21 × 99,911.17
  4. Step 4: Simplify right side
    180,489.34x = 24,884,594,614.84
  5. Step 5: Solve for x
    x = 24,884,594,614.84/180,489.34
  6. Step 6: Final answer
    x = 137,872.94

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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.