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Finding the Fourth Proportional to 210,907.80, 291,052.71 and 115,414.47

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Solution

The fourth proportional to 210,907.80, 291,052.71 and 115,414.47 is: 159,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,907.80 : 291,052.71 = 115,414.47 : x
  2. Step 2: Convert to fraction form
    210,907.80/291,052.71 = 115,414.47/x
  3. Step 3: Cross multiply
    210,907.80x = 291,052.71 × 115,414.47
  4. Step 4: Simplify right side
    210,907.80x = 33,591,694,266.71
  5. Step 5: Solve for x
    x = 33,591,694,266.71/210,907.80
  6. Step 6: Final answer
    x = 159,271.94

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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.