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Finding the Fourth Proportional to 100,971.86, 151,384.88 and 30,812.90

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Solution

The fourth proportional to 100,971.86, 151,384.88 and 30,812.90 is: 46,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971.86 : 151,384.88 = 30,812.90 : x
  2. Step 2: Convert to fraction form
    100,971.86/151,384.88 = 30,812.90/x
  3. Step 3: Cross multiply
    100,971.86x = 151,384.88 × 30,812.90
  4. Step 4: Simplify right side
    100,971.86x = 4,664,606,489.06
  5. Step 5: Solve for x
    x = 4,664,606,489.06/100,971.86
  6. Step 6: Final answer
    x = 46,197.10

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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.