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Finding the Fourth Proportional to 189,693.44, 284,534 and 56,574.80

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Solution

The fourth proportional to 189,693.44, 284,534 and 56,574.80 is: 84,860.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,693.44 : 284,534 = 56,574.80 : x
  2. Step 2: Convert to fraction form
    189,693.44/284,534 = 56,574.80/x
  3. Step 3: Cross multiply
    189,693.44x = 284,534 × 56,574.80
  4. Step 4: Simplify right side
    189,693.44x = 16,097,454,143.20
  5. Step 5: Solve for x
    x = 16,097,454,143.20/189,693.44
  6. Step 6: Final answer
    x = 84,860.36

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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.