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Finding the Fourth Proportional to 101,201, 139,657.46 and 56,489

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Solution

The fourth proportional to 101,201, 139,657.46 and 56,489 is: 77,954.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,201 : 139,657.46 = 56,489 : x
  2. Step 2: Convert to fraction form
    101,201/139,657.46 = 56,489/x
  3. Step 3: Cross multiply
    101,201x = 139,657.46 × 56,489
  4. Step 4: Simplify right side
    101,201x = 7,889,110,257.94
  5. Step 5: Solve for x
    x = 7,889,110,257.94/101,201
  6. Step 6: Final answer
    x = 77,954.86

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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.