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Finding the Fourth Proportional to 70,978.17, 106,489.43 and 21,058.51

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Solution

The fourth proportional to 70,978.17, 106,489.43 and 21,058.51 is: 31,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,978.17 : 106,489.43 = 21,058.51 : x
  2. Step 2: Convert to fraction form
    70,978.17/106,489.43 = 21,058.51/x
  3. Step 3: Cross multiply
    70,978.17x = 106,489.43 × 21,058.51
  4. Step 4: Simplify right side
    70,978.17x = 2,242,508,621.26
  5. Step 5: Solve for x
    x = 2,242,508,621.26/70,978.17
  6. Step 6: Final answer
    x = 31,594.34

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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.