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Finding the Fourth Proportional to 168,646.16, 232,756.12 and 100,666

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Solution

The fourth proportional to 168,646.16, 232,756.12 and 100,666 is: 138,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,646.16 : 232,756.12 = 100,666 : x
  2. Step 2: Convert to fraction form
    168,646.16/232,756.12 = 100,666/x
  3. Step 3: Cross multiply
    168,646.16x = 232,756.12 × 100,666
  4. Step 4: Simplify right side
    168,646.16x = 23,430,627,575.92
  5. Step 5: Solve for x
    x = 23,430,627,575.92/168,646.16
  6. Step 6: Final answer
    x = 138,933.66

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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.