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Finding the Fourth Proportional to 100,971.65, 151,484.74 and 30,849.05

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Solution

The fourth proportional to 100,971.65, 151,484.74 and 30,849.05 is: 46,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971.65 : 151,484.74 = 30,849.05 : x
  2. Step 2: Convert to fraction form
    100,971.65/151,484.74 = 30,849.05/x
  3. Step 3: Cross multiply
    100,971.65x = 151,484.74 × 30,849.05
  4. Step 4: Simplify right side
    100,971.65x = 4,673,159,561.07
  5. Step 5: Solve for x
    x = 4,673,159,561.07/100,971.65
  6. Step 6: Final answer
    x = 46,281.90

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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.