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Finding the Fourth Proportional to 100,731.48, 139,006.62 and 55,409.42

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Solution

The fourth proportional to 100,731.48, 139,006.62 and 55,409.42 is: 76,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,731.48 : 139,006.62 = 55,409.42 : x
  2. Step 2: Convert to fraction form
    100,731.48/139,006.62 = 55,409.42/x
  3. Step 3: Cross multiply
    100,731.48x = 139,006.62 × 55,409.42
  4. Step 4: Simplify right side
    100,731.48x = 7,702,275,495.33
  5. Step 5: Solve for x
    x = 7,702,275,495.33/100,731.48
  6. Step 6: Final answer
    x = 76,463.44

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1.5x scale

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.