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Finding the Fourth Proportional to 205,520, 308,280 and 57,776

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Solution

The fourth proportional to 205,520, 308,280 and 57,776 is: 86,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,520 : 308,280 = 57,776 : x
  2. Step 2: Convert to fraction form
    205,520/308,280 = 57,776/x
  3. Step 3: Cross multiply
    205,520x = 308,280 × 57,776
  4. Step 4: Simplify right side
    205,520x = 17,811,185,280
  5. Step 5: Solve for x
    x = 17,811,185,280/205,520
  6. Step 6: Final answer
    x = 86,664

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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.