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Finding the Fourth Proportional to 210,859.24, 290,994.42 and 115,374.28

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Solution

The fourth proportional to 210,859.24, 290,994.42 and 115,374.28 is: 159,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,859.24 : 290,994.42 = 115,374.28 : x
  2. Step 2: Convert to fraction form
    210,859.24/290,994.42 = 115,374.28/x
  3. Step 3: Cross multiply
    210,859.24x = 290,994.42 × 115,374.28
  4. Step 4: Simplify right side
    210,859.24x = 33,573,271,691.52
  5. Step 5: Solve for x
    x = 33,573,271,691.52/210,859.24
  6. Step 6: Final answer
    x = 159,221.25

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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.