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Finding the Fourth Proportional to 162,443.46, 243,669.24 and 77,034.23

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Solution

The fourth proportional to 162,443.46, 243,669.24 and 77,034.23 is: 115,553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,443.46 : 243,669.24 = 77,034.23 : x
  2. Step 2: Convert to fraction form
    162,443.46/243,669.24 = 77,034.23/x
  3. Step 3: Cross multiply
    162,443.46x = 243,669.24 × 77,034.23
  4. Step 4: Simplify right side
    162,443.46x = 18,770,871,059.74
  5. Step 5: Solve for x
    x = 18,770,871,059.74/162,443.46
  6. Step 6: Final answer
    x = 115,553.26

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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.