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Finding the Fourth Proportional to 210,966.60, 291,122.64 and 115,454.82

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Solution

The fourth proportional to 210,966.60, 291,122.64 and 115,454.82 is: 159,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,966.60 : 291,122.64 = 115,454.82 : x
  2. Step 2: Convert to fraction form
    210,966.60/291,122.64 = 115,454.82/x
  3. Step 3: Cross multiply
    210,966.60x = 291,122.64 × 115,454.82
  4. Step 4: Simplify right side
    210,966.60x = 33,611,511,999.12
  5. Step 5: Solve for x
    x = 33,611,511,999.12/210,966.60
  6. Step 6: Final answer
    x = 159,321.49

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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.