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Finding the Fourth Proportional to 180,469.89, 249,045.43 and 99,895.69

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Solution

The fourth proportional to 180,469.89, 249,045.43 and 99,895.69 is: 137,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,469.89 : 249,045.43 = 99,895.69 : x
  2. Step 2: Convert to fraction form
    180,469.89/249,045.43 = 99,895.69/x
  3. Step 3: Cross multiply
    180,469.89x = 249,045.43 × 99,895.69
  4. Step 4: Simplify right side
    180,469.89x = 24,878,563,326.49
  5. Step 5: Solve for x
    x = 24,878,563,326.49/180,469.89
  6. Step 6: Final answer
    x = 137,854.38

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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.