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Finding the Fourth Proportional to 205,013.88, 307,635.64 and 86,773.72

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Solution

The fourth proportional to 205,013.88, 307,635.64 and 86,773.72 is: 130,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,013.88 : 307,635.64 = 86,773.72 : x
  2. Step 2: Convert to fraction form
    205,013.88/307,635.64 = 86,773.72/x
  3. Step 3: Cross multiply
    205,013.88x = 307,635.64 × 86,773.72
  4. Step 4: Simplify right side
    205,013.88x = 26,694,688,887.38
  5. Step 5: Solve for x
    x = 26,694,688,887.38/205,013.88
  6. Step 6: Final answer
    x = 130,209.18

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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.