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Finding the Fourth Proportional to 210,845.40, 290,968.80 and 115,350

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Solution

The fourth proportional to 210,845.40, 290,968.80 and 115,350 is: 159,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,845.40 : 290,968.80 = 115,350 : x
  2. Step 2: Convert to fraction form
    210,845.40/290,968.80 = 115,350/x
  3. Step 3: Cross multiply
    210,845.40x = 290,968.80 × 115,350
  4. Step 4: Simplify right side
    210,845.40x = 33,563,251,080
  5. Step 5: Solve for x
    x = 33,563,251,080/210,845.40
  6. Step 6: Final answer
    x = 159,184.18

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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.