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Finding the Fourth Proportional to 101,282.30, 151,920.18 and 30,205.53

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Solution

The fourth proportional to 101,282.30, 151,920.18 and 30,205.53 is: 45,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,282.30 : 151,920.18 = 30,205.53 : x
  2. Step 2: Convert to fraction form
    101,282.30/151,920.18 = 30,205.53/x
  3. Step 3: Cross multiply
    101,282.30x = 151,920.18 × 30,205.53
  4. Step 4: Simplify right side
    101,282.30x = 4,588,829,554.60
  5. Step 5: Solve for x
    x = 4,588,829,554.60/101,282.30
  6. Step 6: Final answer
    x = 45,307.32

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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.