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Finding the Fourth Proportional to 70,748, 106,122.72 and 21,500

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Solution

The fourth proportional to 70,748, 106,122.72 and 21,500 is: 32,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,748 : 106,122.72 = 21,500 : x
  2. Step 2: Convert to fraction form
    70,748/106,122.72 = 21,500/x
  3. Step 3: Cross multiply
    70,748x = 106,122.72 × 21,500
  4. Step 4: Simplify right side
    70,748x = 2,281,638,480
  5. Step 5: Solve for x
    x = 2,281,638,480/70,748
  6. Step 6: Final answer
    x = 32,250.22

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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.