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Finding the Fourth Proportional to 238,638.45, 358,128.20 and 86,835.14

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Solution

The fourth proportional to 238,638.45, 358,128.20 and 86,835.14 is: 130,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,638.45 : 358,128.20 = 86,835.14 : x
  2. Step 2: Convert to fraction form
    238,638.45/358,128.20 = 86,835.14/x
  3. Step 3: Cross multiply
    238,638.45x = 358,128.20 × 86,835.14
  4. Step 4: Simplify right side
    238,638.45x = 31,098,110,160.13
  5. Step 5: Solve for x
    x = 31,098,110,160.13/238,638.45
  6. Step 6: Final answer
    x = 130,314.75

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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.