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Finding the Fourth Proportional to 181,661.80, 272,215.10 and 76,423.08

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Solution

The fourth proportional to 181,661.80, 272,215.10 and 76,423.08 is: 114,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,661.80 : 272,215.10 = 76,423.08 : x
  2. Step 2: Convert to fraction form
    181,661.80/272,215.10 = 76,423.08/x
  3. Step 3: Cross multiply
    181,661.80x = 272,215.10 × 76,423.08
  4. Step 4: Simplify right side
    181,661.80x = 20,803,516,364.51
  5. Step 5: Solve for x
    x = 20,803,516,364.51/181,661.80
  6. Step 6: Final answer
    x = 114,517.84

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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.