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Finding the Fourth Proportional to 210,305.68, 290,221.56 and 134,854

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Solution

The fourth proportional to 210,305.68, 290,221.56 and 134,854 is: 186,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,305.68 : 290,221.56 = 134,854 : x
  2. Step 2: Convert to fraction form
    210,305.68/290,221.56 = 134,854/x
  3. Step 3: Cross multiply
    210,305.68x = 290,221.56 × 134,854
  4. Step 4: Simplify right side
    210,305.68x = 39,137,538,252.24
  5. Step 5: Solve for x
    x = 39,137,538,252.24/210,305.68
  6. Step 6: Final answer
    x = 186,098.34

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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.