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Finding the Fourth Proportional to 100,807.20, 151,227.08 and 30,670

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Solution

The fourth proportional to 100,807.20, 151,227.08 and 30,670 is: 46,009.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,807.20 : 151,227.08 = 30,670 : x
  2. Step 2: Convert to fraction form
    100,807.20/151,227.08 = 30,670/x
  3. Step 3: Cross multiply
    100,807.20x = 151,227.08 × 30,670
  4. Step 4: Simplify right side
    100,807.20x = 4,638,134,543.60
  5. Step 5: Solve for x
    x = 4,638,134,543.60/100,807.20
  6. Step 6: Final answer
    x = 46,009.95

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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.