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Finding the Fourth Proportional to 71,264.34, 106,866.41 and 21,351.51

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Solution

The fourth proportional to 71,264.34, 106,866.41 and 21,351.51 is: 32,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,264.34 : 106,866.41 = 21,351.51 : x
  2. Step 2: Convert to fraction form
    71,264.34/106,866.41 = 21,351.51/x
  3. Step 3: Cross multiply
    71,264.34x = 106,866.41 × 21,351.51
  4. Step 4: Simplify right side
    71,264.34x = 2,281,759,115.02
  5. Step 5: Solve for x
    x = 2,281,759,115.02/71,264.34
  6. Step 6: Final answer
    x = 32,018.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.