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Finding the Fourth Proportional to 189,421, 284,133.66 and 56,297.80

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Solution

The fourth proportional to 189,421, 284,133.66 and 56,297.80 is: 84,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,421 : 284,133.66 = 56,297.80 : x
  2. Step 2: Convert to fraction form
    189,421/284,133.66 = 56,297.80/x
  3. Step 3: Cross multiply
    189,421x = 284,133.66 × 56,297.80
  4. Step 4: Simplify right side
    189,421x = 15,996,099,963.95
  5. Step 5: Solve for x
    x = 15,996,099,963.95/189,421
  6. Step 6: Final answer
    x = 84,447.34

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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.