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Finding the Fourth Proportional to 210,907.71, 291,052.66 and 115,414.41

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Solution

The fourth proportional to 210,907.71, 291,052.66 and 115,414.41 is: 159,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,907.71 : 291,052.66 = 115,414.41 : x
  2. Step 2: Convert to fraction form
    210,907.71/291,052.66 = 115,414.41/x
  3. Step 3: Cross multiply
    210,907.71x = 291,052.66 × 115,414.41
  4. Step 4: Simplify right side
    210,907.71x = 33,591,670,455.76
  5. Step 5: Solve for x
    x = 33,591,670,455.76/210,907.71
  6. Step 6: Final answer
    x = 159,271.89

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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.