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Finding the Fourth Proportional to 255,234.56, 382,869.45 and 86,686.11

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Solution

The fourth proportional to 255,234.56, 382,869.45 and 86,686.11 is: 130,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,234.56 : 382,869.45 = 86,686.11 : x
  2. Step 2: Convert to fraction form
    255,234.56/382,869.45 = 86,686.11/x
  3. Step 3: Cross multiply
    255,234.56x = 382,869.45 × 86,686.11
  4. Step 4: Simplify right side
    255,234.56x = 33,189,463,258.34
  5. Step 5: Solve for x
    x = 33,189,463,258.34/255,234.56
  6. Step 6: Final answer
    x = 130,035.15

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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.