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Finding the Fourth Proportional to 101,017.09, 151,542.65 and 30,880

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Solution

The fourth proportional to 101,017.09, 151,542.65 and 30,880 is: 46,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,017.09 : 151,542.65 = 30,880 : x
  2. Step 2: Convert to fraction form
    101,017.09/151,542.65 = 30,880/x
  3. Step 3: Cross multiply
    101,017.09x = 151,542.65 × 30,880
  4. Step 4: Simplify right side
    101,017.09x = 4,679,637,032
  5. Step 5: Solve for x
    x = 4,679,637,032/101,017.09
  6. Step 6: Final answer
    x = 46,325.20

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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.