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Finding the Fourth Proportional to 162,257.88, 243,393.50 and 55,715

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Solution

The fourth proportional to 162,257.88, 243,393.50 and 55,715 is: 83,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,257.88 : 243,393.50 = 55,715 : x
  2. Step 2: Convert to fraction form
    162,257.88/243,393.50 = 55,715/x
  3. Step 3: Cross multiply
    162,257.88x = 243,393.50 × 55,715
  4. Step 4: Simplify right side
    162,257.88x = 13,560,668,852.50
  5. Step 5: Solve for x
    x = 13,560,668,852.50/162,257.88
  6. Step 6: Final answer
    x = 83,574.79

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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.