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Finding the Fourth Proportional to 101,105.61, 151,652.94 and 30,985.12

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Solution

The fourth proportional to 101,105.61, 151,652.94 and 30,985.12 is: 46,476.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,105.61 : 151,652.94 = 30,985.12 : x
  2. Step 2: Convert to fraction form
    101,105.61/151,652.94 = 30,985.12/x
  3. Step 3: Cross multiply
    101,105.61x = 151,652.94 × 30,985.12
  4. Step 4: Simplify right side
    101,105.61x = 4,698,984,544.25
  5. Step 5: Solve for x
    x = 4,698,984,544.25/101,105.61
  6. Step 6: Final answer
    x = 46,476.00

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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.