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Finding the Fourth Proportional to 152,753.81, 228,933.01 and 85,284.08

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Solution

The fourth proportional to 152,753.81, 228,933.01 and 85,284.08 is: 127,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,753.81 : 228,933.01 = 85,284.08 : x
  2. Step 2: Convert to fraction form
    152,753.81/228,933.01 = 85,284.08/x
  3. Step 3: Cross multiply
    152,753.81x = 228,933.01 × 85,284.08
  4. Step 4: Simplify right side
    152,753.81x = 19,524,339,781.61
  5. Step 5: Solve for x
    x = 19,524,339,781.61/152,753.81
  6. Step 6: Final answer
    x = 127,815.73

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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.