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Finding the Fourth Proportional to 94,838, 142,209.60 and 31,636.12

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Solution

The fourth proportional to 94,838, 142,209.60 and 31,636.12 is: 47,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,838 : 142,209.60 = 31,636.12 : x
  2. Step 2: Convert to fraction form
    94,838/142,209.60 = 31,636.12/x
  3. Step 3: Cross multiply
    94,838x = 142,209.60 × 31,636.12
  4. Step 4: Simplify right side
    94,838x = 4,498,959,970.75
  5. Step 5: Solve for x
    x = 4,498,959,970.75/94,838
  6. Step 6: Final answer
    x = 47,438.37

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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.