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Finding the Fourth Proportional to 162,394.46, 243,591.70 and 57,188.78

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Solution

The fourth proportional to 162,394.46, 243,591.70 and 57,188.78 is: 85,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,394.46 : 243,591.70 = 57,188.78 : x
  2. Step 2: Convert to fraction form
    162,394.46/243,591.70 = 57,188.78/x
  3. Step 3: Cross multiply
    162,394.46x = 243,591.70 × 57,188.78
  4. Step 4: Simplify right side
    162,394.46x = 13,930,712,141.13
  5. Step 5: Solve for x
    x = 13,930,712,141.13/162,394.46
  6. Step 6: Final answer
    x = 85,783.17

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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.