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Finding the Fourth Proportional to 61,872, 85,405.50 and 36,721.50

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Solution

The fourth proportional to 61,872, 85,405.50 and 36,721.50 is: 50,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,872 : 85,405.50 = 36,721.50 : x
  2. Step 2: Convert to fraction form
    61,872/85,405.50 = 36,721.50/x
  3. Step 3: Cross multiply
    61,872x = 85,405.50 × 36,721.50
  4. Step 4: Simplify right side
    61,872x = 3,136,218,068.25
  5. Step 5: Solve for x
    x = 3,136,218,068.25/61,872
  6. Step 6: Final answer
    x = 50,688.81

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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.