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Finding the Fourth Proportional to 101,602, 140,215.74 and 61,315.06

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Solution

The fourth proportional to 101,602, 140,215.74 and 61,315.06 is: 84,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,602 : 140,215.74 = 61,315.06 : x
  2. Step 2: Convert to fraction form
    101,602/140,215.74 = 61,315.06/x
  3. Step 3: Cross multiply
    101,602x = 140,215.74 × 61,315.06
  4. Step 4: Simplify right side
    101,602x = 8,597,336,511.04
  5. Step 5: Solve for x
    x = 8,597,336,511.04/101,602
  6. Step 6: Final answer
    x = 84,617.79

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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.