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Finding the Fourth Proportional to 210,503.21, 290,498.60 and 115,015.82

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Solution

The fourth proportional to 210,503.21, 290,498.60 and 115,015.82 is: 158,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,503.21 : 290,498.60 = 115,015.82 : x
  2. Step 2: Convert to fraction form
    210,503.21/290,498.60 = 115,015.82/x
  3. Step 3: Cross multiply
    210,503.21x = 290,498.60 × 115,015.82
  4. Step 4: Simplify right side
    210,503.21x = 33,411,933,522.90
  5. Step 5: Solve for x
    x = 33,411,933,522.90/210,503.21
  6. Step 6: Final answer
    x = 158,724.11

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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.