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Finding the Fourth Proportional to 354,438.72, 531,686.88 and 105,120

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Solution

The fourth proportional to 354,438.72, 531,686.88 and 105,120 is: 157,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,438.72 : 531,686.88 = 105,120 : x
  2. Step 2: Convert to fraction form
    354,438.72/531,686.88 = 105,120/x
  3. Step 3: Cross multiply
    354,438.72x = 531,686.88 × 105,120
  4. Step 4: Simplify right side
    354,438.72x = 55,890,924,825.60
  5. Step 5: Solve for x
    x = 55,890,924,825.60/354,438.72
  6. Step 6: Final answer
    x = 157,688.54

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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.