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Finding the Fourth Proportional to 71,225.62, 106,859.84 and 21,307.34

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Solution

The fourth proportional to 71,225.62, 106,859.84 and 21,307.34 is: 31,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,225.62 : 106,859.84 = 21,307.34 : x
  2. Step 2: Convert to fraction form
    71,225.62/106,859.84 = 21,307.34/x
  3. Step 3: Cross multiply
    71,225.62x = 106,859.84 × 21,307.34
  4. Step 4: Simplify right side
    71,225.62x = 2,276,898,943.23
  5. Step 5: Solve for x
    x = 2,276,898,943.23/71,225.62
  6. Step 6: Final answer
    x = 31,967.41

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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.