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Finding the Fourth Proportional to 101,742, 140,405.67 and 56,421.92

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Solution

The fourth proportional to 101,742, 140,405.67 and 56,421.92 is: 77,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742 : 140,405.67 = 56,421.92 : x
  2. Step 2: Convert to fraction form
    101,742/140,405.67 = 56,421.92/x
  3. Step 3: Cross multiply
    101,742x = 140,405.67 × 56,421.92
  4. Step 4: Simplify right side
    101,742x = 7,921,956,778.26
  5. Step 5: Solve for x
    x = 7,921,956,778.26/101,742
  6. Step 6: Final answer
    x = 77,863.19

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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.