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Finding the Fourth Proportional to 157,884.92, 217,878.62 and 86,263.40

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Solution

The fourth proportional to 157,884.92, 217,878.62 and 86,263.40 is: 119,042.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,884.92 : 217,878.62 = 86,263.40 : x
  2. Step 2: Convert to fraction form
    157,884.92/217,878.62 = 86,263.40/x
  3. Step 3: Cross multiply
    157,884.92x = 217,878.62 × 86,263.40
  4. Step 4: Simplify right side
    157,884.92x = 18,794,950,548.51
  5. Step 5: Solve for x
    x = 18,794,950,548.51/157,884.92
  6. Step 6: Final answer
    x = 119,042.09

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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.