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Finding the Fourth Proportional to 103,450.30, 155,175.45 and 61,459.90

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Solution

The fourth proportional to 103,450.30, 155,175.45 and 61,459.90 is: 92,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,450.30 : 155,175.45 = 61,459.90 : x
  2. Step 2: Convert to fraction form
    103,450.30/155,175.45 = 61,459.90/x
  3. Step 3: Cross multiply
    103,450.30x = 155,175.45 × 61,459.90
  4. Step 4: Simplify right side
    103,450.30x = 9,537,067,639.46
  5. Step 5: Solve for x
    x = 9,537,067,639.46/103,450.30
  6. Step 6: Final answer
    x = 92,189.85

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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.