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Finding the Fourth Proportional to 210,958.59, 291,111.61 and 115,446.82

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Solution

The fourth proportional to 210,958.59, 291,111.61 and 115,446.82 is: 159,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,958.59 : 291,111.61 = 115,446.82 : x
  2. Step 2: Convert to fraction form
    210,958.59/291,111.61 = 115,446.82/x
  3. Step 3: Cross multiply
    210,958.59x = 291,111.61 × 115,446.82
  4. Step 4: Simplify right side
    210,958.59x = 33,607,909,639.58
  5. Step 5: Solve for x
    x = 33,607,909,639.58/210,958.59
  6. Step 6: Final answer
    x = 159,310.46

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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.