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Finding the Fourth Proportional to 205,108.78, 307,695.70 and 86,781

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Solution

The fourth proportional to 205,108.78, 307,695.70 and 86,781 is: 130,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,108.78 : 307,695.70 = 86,781 : x
  2. Step 2: Convert to fraction form
    205,108.78/307,695.70 = 86,781/x
  3. Step 3: Cross multiply
    205,108.78x = 307,695.70 × 86,781
  4. Step 4: Simplify right side
    205,108.78x = 26,702,140,541.70
  5. Step 5: Solve for x
    x = 26,702,140,541.70/205,108.78
  6. Step 6: Final answer
    x = 130,185.26

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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.