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Finding the Fourth Proportional to 210,756.57, 290,848.41 and 115,269.45

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Solution

The fourth proportional to 210,756.57, 290,848.41 and 115,269.45 is: 159,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,756.57 : 290,848.41 = 115,269.45 : x
  2. Step 2: Convert to fraction form
    210,756.57/290,848.41 = 115,269.45/x
  3. Step 3: Cross multiply
    210,756.57x = 290,848.41 × 115,269.45
  4. Step 4: Simplify right side
    210,756.57x = 33,525,936,254.07
  5. Step 5: Solve for x
    x = 33,525,936,254.07/210,756.57
  6. Step 6: Final answer
    x = 159,074.22

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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.