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Finding the Fourth Proportional to 77,184, 115,776 and 21,780

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Solution

The fourth proportional to 77,184, 115,776 and 21,780 is: 32,670

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,184 : 115,776 = 21,780 : x
  2. Step 2: Convert to fraction form
    77,184/115,776 = 21,780/x
  3. Step 3: Cross multiply
    77,184x = 115,776 × 21,780
  4. Step 4: Simplify right side
    77,184x = 2,521,601,280
  5. Step 5: Solve for x
    x = 2,521,601,280/77,184
  6. Step 6: Final answer
    x = 32,670

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.