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Finding the Fourth Proportional to 190,313.92, 285,644 and 85,113.28

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Solution

The fourth proportional to 190,313.92, 285,644 and 85,113.28 is: 127,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,313.92 : 285,644 = 85,113.28 : x
  2. Step 2: Convert to fraction form
    190,313.92/285,644 = 85,113.28/x
  3. Step 3: Cross multiply
    190,313.92x = 285,644 × 85,113.28
  4. Step 4: Simplify right side
    190,313.92x = 24,312,097,752.32
  5. Step 5: Solve for x
    x = 24,312,097,752.32/190,313.92
  6. Step 6: Final answer
    x = 127,747.34

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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.