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Finding the Fourth Proportional to 76,654.70, 105,783.32 and 43,120.70

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Solution

The fourth proportional to 76,654.70, 105,783.32 and 43,120.70 is: 59,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,654.70 : 105,783.32 = 43,120.70 : x
  2. Step 2: Convert to fraction form
    76,654.70/105,783.32 = 43,120.70/x
  3. Step 3: Cross multiply
    76,654.70x = 105,783.32 × 43,120.70
  4. Step 4: Simplify right side
    76,654.70x = 4,561,450,806.72
  5. Step 5: Solve for x
    x = 4,561,450,806.72/76,654.70
  6. Step 6: Final answer
    x = 59,506.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.