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Finding the Fourth Proportional to 101,986.60, 140,744.64 and 61,707.76

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Solution

The fourth proportional to 101,986.60, 140,744.64 and 61,707.76 is: 85,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,986.60 : 140,744.64 = 61,707.76 : x
  2. Step 2: Convert to fraction form
    101,986.60/140,744.64 = 61,707.76/x
  3. Step 3: Cross multiply
    101,986.60x = 140,744.64 × 61,707.76
  4. Step 4: Simplify right side
    101,986.60x = 8,685,036,466.41
  5. Step 5: Solve for x
    x = 8,685,036,466.41/101,986.60
  6. Step 6: Final answer
    x = 85,158.60

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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.