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Finding the Fourth Proportional to 121,609.65, 182,415.09 and 54,971.76

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Solution

The fourth proportional to 121,609.65, 182,415.09 and 54,971.76 is: 82,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,609.65 : 182,415.09 = 54,971.76 : x
  2. Step 2: Convert to fraction form
    121,609.65/182,415.09 = 54,971.76/x
  3. Step 3: Cross multiply
    121,609.65x = 182,415.09 × 54,971.76
  4. Step 4: Simplify right side
    121,609.65x = 10,027,678,547.86
  5. Step 5: Solve for x
    x = 10,027,678,547.86/121,609.65
  6. Step 6: Final answer
    x = 82,457.92

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1.5x scale

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.