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Finding the Fourth Proportional to 70,973.52, 106,448.76 and 21,714

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Solution

The fourth proportional to 70,973.52, 106,448.76 and 21,714 is: 32,567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,973.52 : 106,448.76 = 21,714 : x
  2. Step 2: Convert to fraction form
    70,973.52/106,448.76 = 21,714/x
  3. Step 3: Cross multiply
    70,973.52x = 106,448.76 × 21,714
  4. Step 4: Simplify right side
    70,973.52x = 2,311,428,374.64
  5. Step 5: Solve for x
    x = 2,311,428,374.64/70,973.52
  6. Step 6: Final answer
    x = 32,567.48

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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.