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Finding the Fourth Proportional to 103,666.53, 155,499.80 and 51,178.53

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Solution

The fourth proportional to 103,666.53, 155,499.80 and 51,178.53 is: 76,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,666.53 : 155,499.80 = 51,178.53 : x
  2. Step 2: Convert to fraction form
    103,666.53/155,499.80 = 51,178.53/x
  3. Step 3: Cross multiply
    103,666.53x = 155,499.80 × 51,178.53
  4. Step 4: Simplify right side
    103,666.53x = 7,958,251,179.29
  5. Step 5: Solve for x
    x = 7,958,251,179.29/103,666.53
  6. Step 6: Final answer
    x = 76,767.80

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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.