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Finding the Fourth Proportional to 103,776.80, 155,665.20 and 51,288.80

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Solution

The fourth proportional to 103,776.80, 155,665.20 and 51,288.80 is: 76,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,776.80 : 155,665.20 = 51,288.80 : x
  2. Step 2: Convert to fraction form
    103,776.80/155,665.20 = 51,288.80/x
  3. Step 3: Cross multiply
    103,776.80x = 155,665.20 × 51,288.80
  4. Step 4: Simplify right side
    103,776.80x = 7,983,881,309.76
  5. Step 5: Solve for x
    x = 7,983,881,309.76/103,776.80
  6. Step 6: Final answer
    x = 76,933.20

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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.