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Finding the Fourth Proportional to 99,988,419.67, 149,987,648.67 and 31,836,425.83

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Solution

The fourth proportional to 99,988,419.67, 149,987,648.67 and 31,836,425.83 is: 47,756,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,988,419.67 : 149,987,648.67 = 31,836,425.83 : x
  2. Step 2: Convert to fraction form
    99,988,419.67/149,987,648.67 = 31,836,425.83/x
  3. Step 3: Cross multiply
    99,988,419.67x = 149,987,648.67 × 31,836,425.83
  4. Step 4: Simplify right side
    99,988,419.67x = 4,775,070,651,804,197
  5. Step 5: Solve for x
    x = 4,775,070,651,804,197/99,988,419.67
  6. Step 6: Final answer
    x = 47,756,236.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.