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Finding the Fourth Proportional to 103,209.96, 142,415.96 and 57,268.84

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Solution

The fourth proportional to 103,209.96, 142,415.96 and 57,268.84 is: 79,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,209.96 : 142,415.96 = 57,268.84 : x
  2. Step 2: Convert to fraction form
    103,209.96/142,415.96 = 57,268.84/x
  3. Step 3: Cross multiply
    103,209.96x = 142,415.96 × 57,268.84
  4. Step 4: Simplify right side
    103,209.96x = 8,155,996,826.69
  5. Step 5: Solve for x
    x = 8,155,996,826.69/103,209.96
  6. Step 6: Final answer
    x = 79,023.35

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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.