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Finding the Fourth Proportional to 76,107, 105,020.48 and 51,527.80

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Solution

The fourth proportional to 76,107, 105,020.48 and 51,527.80 is: 71,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,107 : 105,020.48 = 51,527.80 : x
  2. Step 2: Convert to fraction form
    76,107/105,020.48 = 51,527.80/x
  3. Step 3: Cross multiply
    76,107x = 105,020.48 × 51,527.80
  4. Step 4: Simplify right side
    76,107x = 5,411,474,289.34
  5. Step 5: Solve for x
    x = 5,411,474,289.34/76,107
  6. Step 6: Final answer
    x = 71,103.50

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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.