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Finding the Fourth Proportional to 205,509.70, 308,264.55 and 57,765.70

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Solution

The fourth proportional to 205,509.70, 308,264.55 and 57,765.70 is: 86,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,509.70 : 308,264.55 = 57,765.70 : x
  2. Step 2: Convert to fraction form
    205,509.70/308,264.55 = 57,765.70/x
  3. Step 3: Cross multiply
    205,509.70x = 308,264.55 × 57,765.70
  4. Step 4: Simplify right side
    205,509.70x = 17,807,117,515.94
  5. Step 5: Solve for x
    x = 17,807,117,515.94/205,509.70
  6. Step 6: Final answer
    x = 86,648.55

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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.