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Finding the Fourth Proportional to 162,347.49, 243,525.49 and 76,938.36

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Solution

The fourth proportional to 162,347.49, 243,525.49 and 76,938.36 is: 115,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,347.49 : 243,525.49 = 76,938.36 : x
  2. Step 2: Convert to fraction form
    162,347.49/243,525.49 = 76,938.36/x
  3. Step 3: Cross multiply
    162,347.49x = 243,525.49 × 76,938.36
  4. Step 4: Simplify right side
    162,347.49x = 18,736,450,713.23
  5. Step 5: Solve for x
    x = 18,736,450,713.23/162,347.49
  6. Step 6: Final answer
    x = 115,409.55

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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.