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Finding the Fourth Proportional to 205,973.46, 309,009.51 and 85,963.68

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Solution

The fourth proportional to 205,973.46, 309,009.51 and 85,963.68 is: 128,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,973.46 : 309,009.51 = 85,963.68 : x
  2. Step 2: Convert to fraction form
    205,973.46/309,009.51 = 85,963.68/x
  3. Step 3: Cross multiply
    205,973.46x = 309,009.51 × 85,963.68
  4. Step 4: Simplify right side
    205,973.46x = 26,563,594,634.60
  5. Step 5: Solve for x
    x = 26,563,594,634.60/205,973.46
  6. Step 6: Final answer
    x = 128,966.10

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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.