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Finding the Fourth Proportional to 210,291.78, 290,202.53 and 114,798.45

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Solution

The fourth proportional to 210,291.78, 290,202.53 and 114,798.45 is: 158,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,291.78 : 290,202.53 = 114,798.45 : x
  2. Step 2: Convert to fraction form
    210,291.78/290,202.53 = 114,798.45/x
  3. Step 3: Cross multiply
    210,291.78x = 290,202.53 × 114,798.45
  4. Step 4: Simplify right side
    210,291.78x = 33,314,800,056.09
  5. Step 5: Solve for x
    x = 33,314,800,056.09/210,291.78
  6. Step 6: Final answer
    x = 158,421.79

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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.