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Finding the Fourth Proportional to 100,731.79, 139,029.64 and 57,740.12

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Solution

The fourth proportional to 100,731.79, 139,029.64 and 57,740.12 is: 79,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,731.79 : 139,029.64 = 57,740.12 : x
  2. Step 2: Convert to fraction form
    100,731.79/139,029.64 = 57,740.12/x
  3. Step 3: Cross multiply
    100,731.79x = 139,029.64 × 57,740.12
  4. Step 4: Simplify right side
    100,731.79x = 8,027,587,779.02
  5. Step 5: Solve for x
    x = 8,027,587,779.02/100,731.79
  6. Step 6: Final answer
    x = 79,692.69

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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.