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Finding the Fourth Proportional to 109,582, 164,274.36 and 39,412

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Solution

The fourth proportional to 109,582, 164,274.36 and 39,412 is: 59,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,582 : 164,274.36 = 39,412 : x
  2. Step 2: Convert to fraction form
    109,582/164,274.36 = 39,412/x
  3. Step 3: Cross multiply
    109,582x = 164,274.36 × 39,412
  4. Step 4: Simplify right side
    109,582x = 6,474,381,076.32
  5. Step 5: Solve for x
    x = 6,474,381,076.32/109,582
  6. Step 6: Final answer
    x = 59,082.52

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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.