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Finding the Fourth Proportional to 212,079.84, 318,111.45 and 71,838.46

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Solution

The fourth proportional to 212,079.84, 318,111.45 and 71,838.46 is: 107,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,079.84 : 318,111.45 = 71,838.46 : x
  2. Step 2: Convert to fraction form
    212,079.84/318,111.45 = 71,838.46/x
  3. Step 3: Cross multiply
    212,079.84x = 318,111.45 × 71,838.46
  4. Step 4: Simplify right side
    212,079.84x = 22,852,636,676.37
  5. Step 5: Solve for x
    x = 22,852,636,676.37/212,079.84
  6. Step 6: Final answer
    x = 107,754.88

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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.