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Finding the Fourth Proportional to 78,513.81, 117,699.44 and 28,558.59

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Solution

The fourth proportional to 78,513.81, 117,699.44 and 28,558.59 is: 42,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,513.81 : 117,699.44 = 28,558.59 : x
  2. Step 2: Convert to fraction form
    78,513.81/117,699.44 = 28,558.59/x
  3. Step 3: Cross multiply
    78,513.81x = 117,699.44 × 28,558.59
  4. Step 4: Simplify right side
    78,513.81x = 3,361,330,050.19
  5. Step 5: Solve for x
    x = 3,361,330,050.19/78,513.81
  6. Step 6: Final answer
    x = 42,811.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.