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Finding the Fourth Proportional to 181,556.40, 272,298.15 and 86,786.40

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Solution

The fourth proportional to 181,556.40, 272,298.15 and 86,786.40 is: 130,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,556.40 : 272,298.15 = 86,786.40 : x
  2. Step 2: Convert to fraction form
    181,556.40/272,298.15 = 86,786.40/x
  3. Step 3: Cross multiply
    181,556.40x = 272,298.15 × 86,786.40
  4. Step 4: Simplify right side
    181,556.40x = 23,631,776,165.16
  5. Step 5: Solve for x
    x = 23,631,776,165.16/181,556.40
  6. Step 6: Final answer
    x = 130,162.18

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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.