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Finding the Fourth Proportional to 210,422.92, 290,383.62 and 114,929.84

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Solution

The fourth proportional to 210,422.92, 290,383.62 and 114,929.84 is: 158,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,422.92 : 290,383.62 = 114,929.84 : x
  2. Step 2: Convert to fraction form
    210,422.92/290,383.62 = 114,929.84/x
  3. Step 3: Cross multiply
    210,422.92x = 290,383.62 × 114,929.84
  4. Step 4: Simplify right side
    210,422.92x = 33,373,742,985.22
  5. Step 5: Solve for x
    x = 33,373,742,985.22/210,422.92
  6. Step 6: Final answer
    x = 158,603.17

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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.