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Finding the Fourth Proportional to 210,220.16, 290,104.64 and 114,729

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Solution

The fourth proportional to 210,220.16, 290,104.64 and 114,729 is: 158,326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,220.16 : 290,104.64 = 114,729 : x
  2. Step 2: Convert to fraction form
    210,220.16/290,104.64 = 114,729/x
  3. Step 3: Cross multiply
    210,220.16x = 290,104.64 × 114,729
  4. Step 4: Simplify right side
    210,220.16x = 33,283,415,242.56
  5. Step 5: Solve for x
    x = 33,283,415,242.56/210,220.16
  6. Step 6: Final answer
    x = 158,326.47

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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.