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Finding the Fourth Proportional to 91,546, 126,335.40 and 51,802

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Solution

The fourth proportional to 91,546, 126,335.40 and 51,802 is: 71,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,546 : 126,335.40 = 51,802 : x
  2. Step 2: Convert to fraction form
    91,546/126,335.40 = 51,802/x
  3. Step 3: Cross multiply
    91,546x = 126,335.40 × 51,802
  4. Step 4: Simplify right side
    91,546x = 6,544,426,390.80
  5. Step 5: Solve for x
    x = 6,544,426,390.80/91,546
  6. Step 6: Final answer
    x = 71,487.85

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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.