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Finding the Fourth Proportional to 205,506, 308,259 and 57,762

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Solution

The fourth proportional to 205,506, 308,259 and 57,762 is: 86,643

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,506 : 308,259 = 57,762 : x
  2. Step 2: Convert to fraction form
    205,506/308,259 = 57,762/x
  3. Step 3: Cross multiply
    205,506x = 308,259 × 57,762
  4. Step 4: Simplify right side
    205,506x = 17,805,656,358
  5. Step 5: Solve for x
    x = 17,805,656,358/205,506
  6. Step 6: Final answer
    x = 86,643

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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.