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Finding the Fourth Proportional to 70,659.04, 105,757.80 and 51,934.12

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Solution

The fourth proportional to 70,659.04, 105,757.80 and 51,934.12 is: 77,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,659.04 : 105,757.80 = 51,934.12 : x
  2. Step 2: Convert to fraction form
    70,659.04/105,757.80 = 51,934.12/x
  3. Step 3: Cross multiply
    70,659.04x = 105,757.80 × 51,934.12
  4. Step 4: Simplify right side
    70,659.04x = 5,492,438,276.14
  5. Step 5: Solve for x
    x = 5,492,438,276.14/70,659.04
  6. Step 6: Final answer
    x = 77,731.57

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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.