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Finding the Fourth Proportional to 81,007.80, 121,454.10 and 31,068.60

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Solution

The fourth proportional to 81,007.80, 121,454.10 and 31,068.60 is: 46,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,007.80 : 121,454.10 = 31,068.60 : x
  2. Step 2: Convert to fraction form
    81,007.80/121,454.10 = 31,068.60/x
  3. Step 3: Cross multiply
    81,007.80x = 121,454.10 × 31,068.60
  4. Step 4: Simplify right side
    81,007.80x = 3,773,408,851.26
  5. Step 5: Solve for x
    x = 3,773,408,851.26/81,007.80
  6. Step 6: Final answer
    x = 46,580.81

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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.