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Finding the Fourth Proportional to 210,846.90, 290,970.87 and 115,351.50

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Solution

The fourth proportional to 210,846.90, 290,970.87 and 115,351.50 is: 159,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,846.90 : 290,970.87 = 115,351.50 : x
  2. Step 2: Convert to fraction form
    210,846.90/290,970.87 = 115,351.50/x
  3. Step 3: Cross multiply
    210,846.90x = 290,970.87 × 115,351.50
  4. Step 4: Simplify right side
    210,846.90x = 33,563,926,310.81
  5. Step 5: Solve for x
    x = 33,563,926,310.81/210,846.90
  6. Step 6: Final answer
    x = 159,186.25

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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.