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Finding the Fourth Proportional to 157,380, 217,184.40 and 86,724

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Solution

The fourth proportional to 157,380, 217,184.40 and 86,724 is: 119,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,380 : 217,184.40 = 86,724 : x
  2. Step 2: Convert to fraction form
    157,380/217,184.40 = 86,724/x
  3. Step 3: Cross multiply
    157,380x = 217,184.40 × 86,724
  4. Step 4: Simplify right side
    157,380x = 18,835,099,905.60
  5. Step 5: Solve for x
    x = 18,835,099,905.60/157,380
  6. Step 6: Final answer
    x = 119,679.12

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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.