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Finding the Fourth Proportional to 205,543.70, 308,315.55 and 57,799.70

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Solution

The fourth proportional to 205,543.70, 308,315.55 and 57,799.70 is: 86,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,543.70 : 308,315.55 = 57,799.70 : x
  2. Step 2: Convert to fraction form
    205,543.70/308,315.55 = 57,799.70/x
  3. Step 3: Cross multiply
    205,543.70x = 308,315.55 × 57,799.70
  4. Step 4: Simplify right side
    205,543.70x = 17,820,546,295.34
  5. Step 5: Solve for x
    x = 17,820,546,295.34/205,543.70
  6. Step 6: Final answer
    x = 86,699.55

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1.5x scale

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.