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Finding the Fourth Proportional to 205,363.14, 308,155.00 and 85,502.84

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Solution

The fourth proportional to 205,363.14, 308,155.00 and 85,502.84 is: 128,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,363.14 : 308,155.00 = 85,502.84 : x
  2. Step 2: Convert to fraction form
    205,363.14/308,155.00 = 85,502.84/x
  3. Step 3: Cross multiply
    205,363.14x = 308,155.00 × 85,502.84
  4. Step 4: Simplify right side
    205,363.14x = 26,348,126,900.93
  5. Step 5: Solve for x
    x = 26,348,126,900.93/205,363.14
  6. Step 6: Final answer
    x = 128,300.17

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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.