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Finding the Fourth Proportional to 76,565.25, 105,660.05 and 43,031.25

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Solution

The fourth proportional to 76,565.25, 105,660.05 and 43,031.25 is: 59,383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,565.25 : 105,660.05 = 43,031.25 : x
  2. Step 2: Convert to fraction form
    76,565.25/105,660.05 = 43,031.25/x
  3. Step 3: Cross multiply
    76,565.25x = 105,660.05 × 43,031.25
  4. Step 4: Simplify right side
    76,565.25x = 4,546,683,811.41
  5. Step 5: Solve for x
    x = 4,546,683,811.41/76,565.25
  6. Step 6: Final answer
    x = 59,383.13

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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.