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Finding the Fourth Proportional to 51,672, 77,536 and 40,008

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Solution

The fourth proportional to 51,672, 77,536 and 40,008 is: 60,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,672 : 77,536 = 40,008 : x
  2. Step 2: Convert to fraction form
    51,672/77,536 = 40,008/x
  3. Step 3: Cross multiply
    51,672x = 77,536 × 40,008
  4. Step 4: Simplify right side
    51,672x = 3,102,060,288
  5. Step 5: Solve for x
    x = 3,102,060,288/51,672
  6. Step 6: Final answer
    x = 60,033.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.