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Finding the Fourth Proportional to 71,966.70, 107,937.84 and 19,364.46

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Solution

The fourth proportional to 71,966.70, 107,937.84 and 19,364.46 is: 29,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,966.70 : 107,937.84 = 19,364.46 : x
  2. Step 2: Convert to fraction form
    71,966.70/107,937.84 = 19,364.46/x
  3. Step 3: Cross multiply
    71,966.70x = 107,937.84 × 19,364.46
  4. Step 4: Simplify right side
    71,966.70x = 2,090,157,985.17
  5. Step 5: Solve for x
    x = 2,090,157,985.17/71,966.70
  6. Step 6: Final answer
    x = 29,043.40

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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.