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Finding the Fourth Proportional to 78,139.54, 117,207.69 and 18,975.52

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Solution

The fourth proportional to 78,139.54, 117,207.69 and 18,975.52 is: 28,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,139.54 : 117,207.69 = 18,975.52 : x
  2. Step 2: Convert to fraction form
    78,139.54/117,207.69 = 18,975.52/x
  3. Step 3: Cross multiply
    78,139.54x = 117,207.69 × 18,975.52
  4. Step 4: Simplify right side
    78,139.54x = 2,224,076,865.75
  5. Step 5: Solve for x
    x = 2,224,076,865.75/78,139.54
  6. Step 6: Final answer
    x = 28,462.89

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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.