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Finding the Fourth Proportional to 205,883.88, 308,875.80 and 65,642.40

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Solution

The fourth proportional to 205,883.88, 308,875.80 and 65,642.40 is: 98,479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,883.88 : 308,875.80 = 65,642.40 : x
  2. Step 2: Convert to fraction form
    205,883.88/308,875.80 = 65,642.40/x
  3. Step 3: Cross multiply
    205,883.88x = 308,875.80 × 65,642.40
  4. Step 4: Simplify right side
    205,883.88x = 20,275,348,813.92
  5. Step 5: Solve for x
    x = 20,275,348,813.92/205,883.88
  6. Step 6: Final answer
    x = 98,479.54

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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.