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Finding the Fourth Proportional to 81,341.90, 121,976.40 and 31,405.40

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Solution

The fourth proportional to 81,341.90, 121,976.40 and 31,405.40 is: 47,094.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,341.90 : 121,976.40 = 31,405.40 : x
  2. Step 2: Convert to fraction form
    81,341.90/121,976.40 = 31,405.40/x
  3. Step 3: Cross multiply
    81,341.90x = 121,976.40 × 31,405.40
  4. Step 4: Simplify right side
    81,341.90x = 3,830,717,632.56
  5. Step 5: Solve for x
    x = 3,830,717,632.56/81,341.90
  6. Step 6: Final answer
    x = 47,094.03

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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.