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Finding the Fourth Proportional to 210,563.93, 290,578.36 and 115,070.64

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Solution

The fourth proportional to 210,563.93, 290,578.36 and 115,070.64 is: 158,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,563.93 : 290,578.36 = 115,070.64 : x
  2. Step 2: Convert to fraction form
    210,563.93/290,578.36 = 115,070.64/x
  3. Step 3: Cross multiply
    210,563.93x = 290,578.36 × 115,070.64
  4. Step 4: Simplify right side
    210,563.93x = 33,437,037,855.35
  5. Step 5: Solve for x
    x = 33,437,037,855.35/210,563.93
  6. Step 6: Final answer
    x = 158,797.56

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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.