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Finding the Fourth Proportional to 78,478.94, 108,304.08 and 42,668.84

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Solution

The fourth proportional to 78,478.94, 108,304.08 and 42,668.84 is: 58,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,478.94 : 108,304.08 = 42,668.84 : x
  2. Step 2: Convert to fraction form
    78,478.94/108,304.08 = 42,668.84/x
  3. Step 3: Cross multiply
    78,478.94x = 108,304.08 × 42,668.84
  4. Step 4: Simplify right side
    78,478.94x = 4,621,209,460.87
  5. Step 5: Solve for x
    x = 4,621,209,460.87/78,478.94
  6. Step 6: Final answer
    x = 58,884.71

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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.