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Finding the Fourth Proportional to 180,904.46, 249,644.43 and 100,318.97

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Solution

The fourth proportional to 180,904.46, 249,644.43 and 100,318.97 is: 138,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,904.46 : 249,644.43 = 100,318.97 : x
  2. Step 2: Convert to fraction form
    180,904.46/249,644.43 = 100,318.97/x
  3. Step 3: Cross multiply
    180,904.46x = 249,644.43 × 100,318.97
  4. Step 4: Simplify right side
    180,904.46x = 25,044,072,707.95
  5. Step 5: Solve for x
    x = 25,044,072,707.95/180,904.46
  6. Step 6: Final answer
    x = 138,438.12

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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.