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Finding the Fourth Proportional to 72,726, 100,363.10 and 47,575.50

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Solution

The fourth proportional to 72,726, 100,363.10 and 47,575.50 is: 65,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,726 : 100,363.10 = 47,575.50 : x
  2. Step 2: Convert to fraction form
    72,726/100,363.10 = 47,575.50/x
  3. Step 3: Cross multiply
    72,726x = 100,363.10 × 47,575.50
  4. Step 4: Simplify right side
    72,726x = 4,774,824,426.17
  5. Step 5: Solve for x
    x = 4,774,824,426.17/72,726
  6. Step 6: Final answer
    x = 65,654.98

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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.