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Finding the Fourth Proportional to 78,390.42, 108,177.57 and 43,934.64

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Solution

The fourth proportional to 78,390.42, 108,177.57 and 43,934.64 is: 60,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,390.42 : 108,177.57 = 43,934.64 : x
  2. Step 2: Convert to fraction form
    78,390.42/108,177.57 = 43,934.64/x
  3. Step 3: Cross multiply
    78,390.42x = 108,177.57 × 43,934.64
  4. Step 4: Simplify right side
    78,390.42x = 4,752,742,594.02
  5. Step 5: Solve for x
    x = 4,752,742,594.02/78,390.42
  6. Step 6: Final answer
    x = 60,629.13

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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.