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Finding the Fourth Proportional to 76,215.74, 105,143.21 and 45,991.40

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Solution

The fourth proportional to 76,215.74, 105,143.21 and 45,991.40 is: 63,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,215.74 : 105,143.21 = 45,991.40 : x
  2. Step 2: Convert to fraction form
    76,215.74/105,143.21 = 45,991.40/x
  3. Step 3: Cross multiply
    76,215.74x = 105,143.21 × 45,991.40
  4. Step 4: Simplify right side
    76,215.74x = 4,835,683,103.89
  5. Step 5: Solve for x
    x = 4,835,683,103.89/76,215.74
  6. Step 6: Final answer
    x = 63,447.31

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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.