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Finding the Fourth Proportional to 134,034.65, 185,009.34 and 86,288

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Solution

The fourth proportional to 134,034.65, 185,009.34 and 86,288 is: 119,104.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,034.65 : 185,009.34 = 86,288 : x
  2. Step 2: Convert to fraction form
    134,034.65/185,009.34 = 86,288/x
  3. Step 3: Cross multiply
    134,034.65x = 185,009.34 × 86,288
  4. Step 4: Simplify right side
    134,034.65x = 15,964,085,929.92
  5. Step 5: Solve for x
    x = 15,964,085,929.92/134,034.65
  6. Step 6: Final answer
    x = 119,104.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.