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Finding the Fourth Proportional to 130,940.86, 180,693.80 and 80,039.10

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Solution

The fourth proportional to 130,940.86, 180,693.80 and 80,039.10 is: 110,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,940.86 : 180,693.80 = 80,039.10 : x
  2. Step 2: Convert to fraction form
    130,940.86/180,693.80 = 80,039.10/x
  3. Step 3: Cross multiply
    130,940.86x = 180,693.80 × 80,039.10
  4. Step 4: Simplify right side
    130,940.86x = 14,462,569,127.58
  5. Step 5: Solve for x
    x = 14,462,569,127.58/130,940.86
  6. Step 6: Final answer
    x = 110,451.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.