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Finding the Fourth Proportional to 181,225.74, 271,783.13 and 86,405.93

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Solution

The fourth proportional to 181,225.74, 271,783.13 and 86,405.93 is: 129,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,225.74 : 271,783.13 = 86,405.93 : x
  2. Step 2: Convert to fraction form
    181,225.74/271,783.13 = 86,405.93/x
  3. Step 3: Cross multiply
    181,225.74x = 271,783.13 × 86,405.93
  4. Step 4: Simplify right side
    181,225.74x = 23,483,672,315.02
  5. Step 5: Solve for x
    x = 23,483,672,315.02/181,225.74
  6. Step 6: Final answer
    x = 129,582.43

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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.