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Finding the Fourth Proportional to 78,323.89, 108,087.05 and 42,513.89

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Solution

The fourth proportional to 78,323.89, 108,087.05 and 42,513.89 is: 58,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,323.89 : 108,087.05 = 42,513.89 : x
  2. Step 2: Convert to fraction form
    78,323.89/108,087.05 = 42,513.89/x
  3. Step 3: Cross multiply
    78,323.89x = 108,087.05 × 42,513.89
  4. Step 4: Simplify right side
    78,323.89x = 4,595,200,741.56
  5. Step 5: Solve for x
    x = 4,595,200,741.56/78,323.89
  6. Step 6: Final answer
    x = 58,669.21

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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.