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Finding the Fourth Proportional to 189,980.90, 285,028.41 and 56,865.50

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Solution

The fourth proportional to 189,980.90, 285,028.41 and 56,865.50 is: 85,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,980.90 : 285,028.41 = 56,865.50 : x
  2. Step 2: Convert to fraction form
    189,980.90/285,028.41 = 56,865.50/x
  3. Step 3: Cross multiply
    189,980.90x = 285,028.41 × 56,865.50
  4. Step 4: Simplify right side
    189,980.90x = 16,208,283,048.86
  5. Step 5: Solve for x
    x = 16,208,283,048.86/189,980.90
  6. Step 6: Final answer
    x = 85,315.33

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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.