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Finding the Fourth Proportional to 81,350.80, 121,968.60 and 31,411.60

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Solution

The fourth proportional to 81,350.80, 121,968.60 and 31,411.60 is: 47,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,350.80 : 121,968.60 = 31,411.60 : x
  2. Step 2: Convert to fraction form
    81,350.80/121,968.60 = 31,411.60/x
  3. Step 3: Cross multiply
    81,350.80x = 121,968.60 × 31,411.60
  4. Step 4: Simplify right side
    81,350.80x = 3,831,228,875.76
  5. Step 5: Solve for x
    x = 3,831,228,875.76/81,350.80
  6. Step 6: Final answer
    x = 47,095.16

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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.